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Finding the Third Proportional to 321,669,241 and 702,328,708

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Solution

The third proportional to 321,669,241 and 702,328,708 is: 1,533,455,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,669,241 : 702,328,708 = 702,328,708 : x
  2. Step 2: Convert to fraction form
    321,669,241/702,328,708 = 702,328,708/x
  3. Step 3: Cross multiply
    321,669,241x = 702,328,708 × 702,328,708
  4. Step 4: Simplify right side
    321,669,241x = 493,265,614,080,949,248
  5. Step 5: Solve for x
    x = 493,265,614,080,949,248/321,669,241
  6. Step 6: Final answer
    x = 1,533,455,957.89

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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.