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Finding the Third Proportional to 495,508 and 747,906

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Solution

The third proportional to 495,508 and 747,906 is: 1,128,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,508 : 747,906 = 747,906 : x
  2. Step 2: Convert to fraction form
    495,508/747,906 = 747,906/x
  3. Step 3: Cross multiply
    495,508x = 747,906 × 747,906
  4. Step 4: Simplify right side
    495,508x = 559,363,384,836
  5. Step 5: Solve for x
    x = 559,363,384,836/495,508
  6. Step 6: Final answer
    x = 1,128,868.52

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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.