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Finding the Third Proportional to 321,669,235.88 and 702,328,697.25

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Solution

The third proportional to 321,669,235.88 and 702,328,697.25 is: 1,533,455,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,669,235.88 : 702,328,697.25 = 702,328,697.25 : x
  2. Step 2: Convert to fraction form
    321,669,235.88/702,328,697.25 = 702,328,697.25/x
  3. Step 3: Cross multiply
    321,669,235.88x = 702,328,697.25 × 702,328,697.25
  4. Step 4: Simplify right side
    321,669,235.88x = 493,265,598,980,882,176
  5. Step 5: Solve for x
    x = 493,265,598,980,882,176/321,669,235.88
  6. Step 6: Final answer
    x = 1,533,455,935.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.