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Finding the Third Proportional to 547,904 and 746,403

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Solution

The third proportional to 547,904 and 746,403 is: 1,016,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,904 : 746,403 = 746,403 : x
  2. Step 2: Convert to fraction form
    547,904/746,403 = 746,403/x
  3. Step 3: Cross multiply
    547,904x = 746,403 × 746,403
  4. Step 4: Simplify right side
    547,904x = 557,117,438,409
  5. Step 5: Solve for x
    x = 557,117,438,409/547,904
  6. Step 6: Final answer
    x = 1,016,815.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.