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Finding the Third Proportional to 477,546 and 722,466

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Solution

The third proportional to 477,546 and 722,466 is: 1,092,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,546 : 722,466 = 722,466 : x
  2. Step 2: Convert to fraction form
    477,546/722,466 = 722,466/x
  3. Step 3: Cross multiply
    477,546x = 722,466 × 722,466
  4. Step 4: Simplify right side
    477,546x = 521,957,121,156
  5. Step 5: Solve for x
    x = 521,957,121,156/477,546
  6. Step 6: Final answer
    x = 1,092,998.62

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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.