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Finding the Third Proportional to 242,424 and 527,573

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Solution

The third proportional to 242,424 and 527,573 is: 1,148,125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,424 : 527,573 = 527,573 : x
  2. Step 2: Convert to fraction form
    242,424/527,573 = 527,573/x
  3. Step 3: Cross multiply
    242,424x = 527,573 × 527,573
  4. Step 4: Simplify right side
    242,424x = 278,333,270,329
  5. Step 5: Solve for x
    x = 278,333,270,329/242,424
  6. Step 6: Final answer
    x = 1,148,125.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.