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Finding the Third Proportional to 468,397.69 and 700,714.13

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Solution

The third proportional to 468,397.69 and 700,714.13 is: 1,048,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,397.69 : 700,714.13 = 700,714.13 : x
  2. Step 2: Convert to fraction form
    468,397.69/700,714.13 = 700,714.13/x
  3. Step 3: Cross multiply
    468,397.69x = 700,714.13 × 700,714.13
  4. Step 4: Simplify right side
    468,397.69x = 491,000,284,974.52
  5. Step 5: Solve for x
    x = 491,000,284,974.52/468,397.69
  6. Step 6: Final answer
    x = 1,048,255.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.