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Finding the Third Proportional to 495,366 and 787,246

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Solution

The third proportional to 495,366 and 787,246 is: 1,251,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,366 : 787,246 = 787,246 : x
  2. Step 2: Convert to fraction form
    495,366/787,246 = 787,246/x
  3. Step 3: Cross multiply
    495,366x = 787,246 × 787,246
  4. Step 4: Simplify right side
    495,366x = 619,756,264,516
  5. Step 5: Solve for x
    x = 619,756,264,516/495,366
  6. Step 6: Final answer
    x = 1,251,107.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.