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Finding the Third Proportional to 495,509 and 747,908

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Solution

The third proportional to 495,509 and 747,908 is: 1,128,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,509 : 747,908 = 747,908 : x
  2. Step 2: Convert to fraction form
    495,509/747,908 = 747,908/x
  3. Step 3: Cross multiply
    495,509x = 747,908 × 747,908
  4. Step 4: Simplify right side
    495,509x = 559,366,376,464
  5. Step 5: Solve for x
    x = 559,366,376,464/495,509
  6. Step 6: Final answer
    x = 1,128,872.28

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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.