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Finding the Third Proportional to 467,088 and 724,716

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Solution

The third proportional to 467,088 and 724,716 is: 1,124,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,088 : 724,716 = 724,716 : x
  2. Step 2: Convert to fraction form
    467,088/724,716 = 724,716/x
  3. Step 3: Cross multiply
    467,088x = 724,716 × 724,716
  4. Step 4: Simplify right side
    467,088x = 525,213,280,656
  5. Step 5: Solve for x
    x = 525,213,280,656/467,088
  6. Step 6: Final answer
    x = 1,124,441.82

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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.