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Finding the Third Proportional to 477,549 and 722,472

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Solution

The third proportional to 477,549 and 722,472 is: 1,093,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,549 : 722,472 = 722,472 : x
  2. Step 2: Convert to fraction form
    477,549/722,472 = 722,472/x
  3. Step 3: Cross multiply
    477,549x = 722,472 × 722,472
  4. Step 4: Simplify right side
    477,549x = 521,965,790,784
  5. Step 5: Solve for x
    x = 521,965,790,784/477,549
  6. Step 6: Final answer
    x = 1,093,009.91

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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.