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Finding the Third Proportional to 460,974.80 and 721,551.96

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Solution

The third proportional to 460,974.80 and 721,551.96 is: 1,129,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,974.80 : 721,551.96 = 721,551.96 : x
  2. Step 2: Convert to fraction form
    460,974.80/721,551.96 = 721,551.96/x
  3. Step 3: Cross multiply
    460,974.80x = 721,551.96 × 721,551.96
  4. Step 4: Simplify right side
    460,974.80x = 520,637,223,877.06
  5. Step 5: Solve for x
    x = 520,637,223,877.06/460,974.80
  6. Step 6: Final answer
    x = 1,129,426.66

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.