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Finding the Third Proportional to 486,060.75 and 724,079.25

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Solution

The third proportional to 486,060.75 and 724,079.25 is: 1,078,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,060.75 : 724,079.25 = 724,079.25 : x
  2. Step 2: Convert to fraction form
    486,060.75/724,079.25 = 724,079.25/x
  3. Step 3: Cross multiply
    486,060.75x = 724,079.25 × 724,079.25
  4. Step 4: Simplify right side
    486,060.75x = 524,290,760,280.56
  5. Step 5: Solve for x
    x = 524,290,760,280.56/486,060.75
  6. Step 6: Final answer
    x = 1,078,652.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.