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Finding the Third Proportional to 467,724.75 and 753,271.13

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Solution

The third proportional to 467,724.75 and 753,271.13 is: 1,213,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,724.75 : 753,271.13 = 753,271.13 : x
  2. Step 2: Convert to fraction form
    467,724.75/753,271.13 = 753,271.13/x
  3. Step 3: Cross multiply
    467,724.75x = 753,271.13 × 753,271.13
  4. Step 4: Simplify right side
    467,724.75x = 567,417,387,758.77
  5. Step 5: Solve for x
    x = 567,417,387,758.77/467,724.75
  6. Step 6: Final answer
    x = 1,213,143.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.