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Finding the Third Proportional to 416,331 and 865,388

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Solution

The third proportional to 416,331 and 865,388 is: 1,798,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,331 : 865,388 = 865,388 : x
  2. Step 2: Convert to fraction form
    416,331/865,388 = 865,388/x
  3. Step 3: Cross multiply
    416,331x = 865,388 × 865,388
  4. Step 4: Simplify right side
    416,331x = 748,896,390,544
  5. Step 5: Solve for x
    x = 748,896,390,544/416,331
  6. Step 6: Final answer
    x = 1,798,800.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.