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Finding the Third Proportional to 526,032 and 813,600

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Solution

The third proportional to 526,032 and 813,600 is: 1,258,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,032 : 813,600 = 813,600 : x
  2. Step 2: Convert to fraction form
    526,032/813,600 = 813,600/x
  3. Step 3: Cross multiply
    526,032x = 813,600 × 813,600
  4. Step 4: Simplify right side
    526,032x = 661,944,960,000
  5. Step 5: Solve for x
    x = 661,944,960,000/526,032
  6. Step 6: Final answer
    x = 1,258,373.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.