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Finding the Third Proportional to 244,564 and 532,140

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Solution

The third proportional to 244,564 and 532,140 is: 1,157,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,564 : 532,140 = 532,140 : x
  2. Step 2: Convert to fraction form
    244,564/532,140 = 532,140/x
  3. Step 3: Cross multiply
    244,564x = 532,140 × 532,140
  4. Step 4: Simplify right side
    244,564x = 283,172,979,600
  5. Step 5: Solve for x
    x = 283,172,979,600/244,564
  6. Step 6: Final answer
    x = 1,157,868.61

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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.