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Finding the Third Proportional to 527,344 and 838,444

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Solution

The third proportional to 527,344 and 838,444 is: 1,333,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,344 : 838,444 = 838,444 : x
  2. Step 2: Convert to fraction form
    527,344/838,444 = 838,444/x
  3. Step 3: Cross multiply
    527,344x = 838,444 × 838,444
  4. Step 4: Simplify right side
    527,344x = 702,988,341,136
  5. Step 5: Solve for x
    x = 702,988,341,136/527,344
  6. Step 6: Final answer
    x = 1,333,073.56

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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.