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Finding the Third Proportional to 500,367.38 and 754,879.50

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Solution

The third proportional to 500,367.38 and 754,879.50 is: 1,138,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,367.38 : 754,879.50 = 754,879.50 : x
  2. Step 2: Convert to fraction form
    500,367.38/754,879.50 = 754,879.50/x
  3. Step 3: Cross multiply
    500,367.38x = 754,879.50 × 754,879.50
  4. Step 4: Simplify right side
    500,367.38x = 569,843,059,520.25
  5. Step 5: Solve for x
    x = 569,843,059,520.25/500,367.38
  6. Step 6: Final answer
    x = 1,138,849.35

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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.