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Finding the Third Proportional to 527,376 and 838,488

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Solution

The third proportional to 527,376 and 838,488 is: 1,333,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,376 : 838,488 = 838,488 : x
  2. Step 2: Convert to fraction form
    527,376/838,488 = 838,488/x
  3. Step 3: Cross multiply
    527,376x = 838,488 × 838,488
  4. Step 4: Simplify right side
    527,376x = 703,062,126,144
  5. Step 5: Solve for x
    x = 703,062,126,144/527,376
  6. Step 6: Final answer
    x = 1,333,132.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.