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Finding the Third Proportional to 225,737 and 532,852

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Solution

The third proportional to 225,737 and 532,852 is: 1,257,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,737 : 532,852 = 532,852 : x
  2. Step 2: Convert to fraction form
    225,737/532,852 = 532,852/x
  3. Step 3: Cross multiply
    225,737x = 532,852 × 532,852
  4. Step 4: Simplify right side
    225,737x = 283,931,253,904
  5. Step 5: Solve for x
    x = 283,931,253,904/225,737
  6. Step 6: Final answer
    x = 1,257,796.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.