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Finding the Third Proportional to 482,662 and 730,221

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Solution

The third proportional to 482,662 and 730,221 is: 1,104,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,662 : 730,221 = 730,221 : x
  2. Step 2: Convert to fraction form
    482,662/730,221 = 730,221/x
  3. Step 3: Cross multiply
    482,662x = 730,221 × 730,221
  4. Step 4: Simplify right side
    482,662x = 533,222,708,841
  5. Step 5: Solve for x
    x = 533,222,708,841/482,662
  6. Step 6: Final answer
    x = 1,104,753.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.