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Finding the Third Proportional to 243,708,288 and 527,543,040

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Solution

The third proportional to 243,708,288 and 527,543,040 is: 1,141,945,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,708,288 : 527,543,040 = 527,543,040 : x
  2. Step 2: Convert to fraction form
    243,708,288/527,543,040 = 527,543,040/x
  3. Step 3: Cross multiply
    243,708,288x = 527,543,040 × 527,543,040
  4. Step 4: Simplify right side
    243,708,288x = 278,301,659,052,441,600
  5. Step 5: Solve for x
    x = 278,301,659,052,441,600/243,708,288
  6. Step 6: Final answer
    x = 1,141,945,812.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.