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Finding the Third Proportional to 497,580 and 748,866

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Solution

The third proportional to 497,580 and 748,866 is: 1,127,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,580 : 748,866 = 748,866 : x
  2. Step 2: Convert to fraction form
    497,580/748,866 = 748,866/x
  3. Step 3: Cross multiply
    497,580x = 748,866 × 748,866
  4. Step 4: Simplify right side
    497,580x = 560,800,285,956
  5. Step 5: Solve for x
    x = 560,800,285,956/497,580
  6. Step 6: Final answer
    x = 1,127,055.52

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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.