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Finding the Third Proportional to 526,050 and 813,627

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Solution

The third proportional to 526,050 and 813,627 is: 1,258,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,050 : 813,627 = 813,627 : x
  2. Step 2: Convert to fraction form
    526,050/813,627 = 813,627/x
  3. Step 3: Cross multiply
    526,050x = 813,627 × 813,627
  4. Step 4: Simplify right side
    526,050x = 661,988,895,129
  5. Step 5: Solve for x
    x = 661,988,895,129/526,050
  6. Step 6: Final answer
    x = 1,258,414.40

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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.