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Finding the Third Proportional to 321,468 and 700,080

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Solution

The third proportional to 321,468 and 700,080 is: 1,524,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,468 : 700,080 = 700,080 : x
  2. Step 2: Convert to fraction form
    321,468/700,080 = 700,080/x
  3. Step 3: Cross multiply
    321,468x = 700,080 × 700,080
  4. Step 4: Simplify right side
    321,468x = 490,112,006,400
  5. Step 5: Solve for x
    x = 490,112,006,400/321,468
  6. Step 6: Final answer
    x = 1,524,605.89

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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.