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Finding the Third Proportional to 527,452 and 838,590

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Solution

The third proportional to 527,452 and 838,590 is: 1,333,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,452 : 838,590 = 838,590 : x
  2. Step 2: Convert to fraction form
    527,452/838,590 = 838,590/x
  3. Step 3: Cross multiply
    527,452x = 838,590 × 838,590
  4. Step 4: Simplify right side
    527,452x = 703,233,188,100
  5. Step 5: Solve for x
    x = 703,233,188,100/527,452
  6. Step 6: Final answer
    x = 1,333,264.81

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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.