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Finding the Third Proportional to 495,132.75 and 747,437.63

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Solution

The third proportional to 495,132.75 and 747,437.63 is: 1,128,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,132.75 : 747,437.63 = 747,437.63 : x
  2. Step 2: Convert to fraction form
    495,132.75/747,437.63 = 747,437.63/x
  3. Step 3: Cross multiply
    495,132.75x = 747,437.63 × 747,437.63
  4. Step 4: Simplify right side
    495,132.75x = 558,663,003,265.64
  5. Step 5: Solve for x
    x = 558,663,003,265.64/495,132.75
  6. Step 6: Final answer
    x = 1,128,309.54

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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.