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Finding the Third Proportional to 467,056 and 724,680

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Solution

The third proportional to 467,056 and 724,680 is: 1,124,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,056 : 724,680 = 724,680 : x
  2. Step 2: Convert to fraction form
    467,056/724,680 = 724,680/x
  3. Step 3: Cross multiply
    467,056x = 724,680 × 724,680
  4. Step 4: Simplify right side
    467,056x = 525,161,102,400
  5. Step 5: Solve for x
    x = 525,161,102,400/467,056
  6. Step 6: Final answer
    x = 1,124,407.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.