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Finding the Third Proportional to 472,440 and 707,352

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Solution

The third proportional to 472,440 and 707,352 is: 1,059,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,440 : 707,352 = 707,352 : x
  2. Step 2: Convert to fraction form
    472,440/707,352 = 707,352/x
  3. Step 3: Cross multiply
    472,440x = 707,352 × 707,352
  4. Step 4: Simplify right side
    472,440x = 500,346,851,904
  5. Step 5: Solve for x
    x = 500,346,851,904/472,440
  6. Step 6: Final answer
    x = 1,059,069.62

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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.