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Finding the Third Proportional to 436,216 and 639,924

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Solution

The third proportional to 436,216 and 639,924 is: 938,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,216 : 639,924 = 639,924 : x
  2. Step 2: Convert to fraction form
    436,216/639,924 = 639,924/x
  3. Step 3: Cross multiply
    436,216x = 639,924 × 639,924
  4. Step 4: Simplify right side
    436,216x = 409,502,725,776
  5. Step 5: Solve for x
    x = 409,502,725,776/436,216
  6. Step 6: Final answer
    x = 938,761.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.