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Finding the Third Proportional to 467,060 and 724,686

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Solution

The third proportional to 467,060 and 724,686 is: 1,124,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,060 : 724,686 = 724,686 : x
  2. Step 2: Convert to fraction form
    467,060/724,686 = 724,686/x
  3. Step 3: Cross multiply
    467,060x = 724,686 × 724,686
  4. Step 4: Simplify right side
    467,060x = 525,169,798,596
  5. Step 5: Solve for x
    x = 525,169,798,596/467,060
  6. Step 6: Final answer
    x = 1,124,416.13

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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.