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Finding the Third Proportional to 242,570 and 566,561

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Solution

The third proportional to 242,570 and 566,561 is: 1,323,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,570 : 566,561 = 566,561 : x
  2. Step 2: Convert to fraction form
    242,570/566,561 = 566,561/x
  3. Step 3: Cross multiply
    242,570x = 566,561 × 566,561
  4. Step 4: Simplify right side
    242,570x = 320,991,366,721
  5. Step 5: Solve for x
    x = 320,991,366,721/242,570
  6. Step 6: Final answer
    x = 1,323,293.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.