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Finding the Third Proportional to 527,448 and 838,584

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Solution

The third proportional to 527,448 and 838,584 is: 1,333,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,448 : 838,584 = 838,584 : x
  2. Step 2: Convert to fraction form
    527,448/838,584 = 838,584/x
  3. Step 3: Cross multiply
    527,448x = 838,584 × 838,584
  4. Step 4: Simplify right side
    527,448x = 703,223,125,056
  5. Step 5: Solve for x
    x = 703,223,125,056/527,448
  6. Step 6: Final answer
    x = 1,333,255.84

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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.