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Finding the Third Proportional to 242,572 and 521,625

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Solution

The third proportional to 242,572 and 521,625 is: 1,121,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,572 : 521,625 = 521,625 : x
  2. Step 2: Convert to fraction form
    242,572/521,625 = 521,625/x
  3. Step 3: Cross multiply
    242,572x = 521,625 × 521,625
  4. Step 4: Simplify right side
    242,572x = 272,092,640,625
  5. Step 5: Solve for x
    x = 272,092,640,625/242,572
  6. Step 6: Final answer
    x = 1,121,698.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.