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Finding the Third Proportional to 526,554 and 794,484

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Solution

The third proportional to 526,554 and 794,484 is: 1,198,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,554 : 794,484 = 794,484 : x
  2. Step 2: Convert to fraction form
    526,554/794,484 = 794,484/x
  3. Step 3: Cross multiply
    526,554x = 794,484 × 794,484
  4. Step 4: Simplify right side
    526,554x = 631,204,826,256
  5. Step 5: Solve for x
    x = 631,204,826,256/526,554
  6. Step 6: Final answer
    x = 1,198,746.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.