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Finding the Third Proportional to 726,357.38 and 857,577.38

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Solution

The third proportional to 726,357.38 and 857,577.38 is: 1,012,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,357.38 : 857,577.38 = 857,577.38 : x
  2. Step 2: Convert to fraction form
    726,357.38/857,577.38 = 857,577.38/x
  3. Step 3: Cross multiply
    726,357.38x = 857,577.38 × 857,577.38
  4. Step 4: Simplify right side
    726,357.38x = 735,438,954,111.89
  5. Step 5: Solve for x
    x = 735,438,954,111.89/726,357.38
  6. Step 6: Final answer
    x = 1,012,502.91

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.