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Finding the Third Proportional to 242,924 and 533,674

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Solution

The third proportional to 242,924 and 533,674 is: 1,172,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,924 : 533,674 = 533,674 : x
  2. Step 2: Convert to fraction form
    242,924/533,674 = 533,674/x
  3. Step 3: Cross multiply
    242,924x = 533,674 × 533,674
  4. Step 4: Simplify right side
    242,924x = 284,807,938,276
  5. Step 5: Solve for x
    x = 284,807,938,276/242,924
  6. Step 6: Final answer
    x = 1,172,415.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.