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Finding the Third Proportional to 242,755 and 538,564

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Solution

The third proportional to 242,755 and 538,564 is: 1,194,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,755 : 538,564 = 538,564 : x
  2. Step 2: Convert to fraction form
    242,755/538,564 = 538,564/x
  3. Step 3: Cross multiply
    242,755x = 538,564 × 538,564
  4. Step 4: Simplify right side
    242,755x = 290,051,182,096
  5. Step 5: Solve for x
    x = 290,051,182,096/242,755
  6. Step 6: Final answer
    x = 1,194,830.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.