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Finding the Third Proportional to 444,376 and 715,592

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Solution

The third proportional to 444,376 and 715,592 is: 1,152,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,376 : 715,592 = 715,592 : x
  2. Step 2: Convert to fraction form
    444,376/715,592 = 715,592/x
  3. Step 3: Cross multiply
    444,376x = 715,592 × 715,592
  4. Step 4: Simplify right side
    444,376x = 512,071,910,464
  5. Step 5: Solve for x
    x = 512,071,910,464/444,376
  6. Step 6: Final answer
    x = 1,152,339.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.