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Finding the Third Proportional to 526,566 and 794,502

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Solution

The third proportional to 526,566 and 794,502 is: 1,198,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,566 : 794,502 = 794,502 : x
  2. Step 2: Convert to fraction form
    526,566/794,502 = 794,502/x
  3. Step 3: Cross multiply
    526,566x = 794,502 × 794,502
  4. Step 4: Simplify right side
    526,566x = 631,233,428,004
  5. Step 5: Solve for x
    x = 631,233,428,004/526,566
  6. Step 6: Final answer
    x = 1,198,773.62

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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.