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Finding the Third Proportional to 467,820 and 724,086

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Solution

The third proportional to 467,820 and 724,086 is: 1,120,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,820 : 724,086 = 724,086 : x
  2. Step 2: Convert to fraction form
    467,820/724,086 = 724,086/x
  3. Step 3: Cross multiply
    467,820x = 724,086 × 724,086
  4. Step 4: Simplify right side
    467,820x = 524,300,535,396
  5. Step 5: Solve for x
    x = 524,300,535,396/467,820
  6. Step 6: Final answer
    x = 1,120,731.34

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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.