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Finding the Third Proportional to 526,040 and 813,612

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Solution

The third proportional to 526,040 and 813,612 is: 1,258,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,040 : 813,612 = 813,612 : x
  2. Step 2: Convert to fraction form
    526,040/813,612 = 813,612/x
  3. Step 3: Cross multiply
    526,040x = 813,612 × 813,612
  4. Step 4: Simplify right side
    526,040x = 661,964,486,544
  5. Step 5: Solve for x
    x = 661,964,486,544/526,040
  6. Step 6: Final answer
    x = 1,258,391.92

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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.