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Finding the Third Proportional to 495,742 and 787,894

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Solution

The third proportional to 495,742 and 787,894 is: 1,252,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,742 : 787,894 = 787,894 : x
  2. Step 2: Convert to fraction form
    495,742/787,894 = 787,894/x
  3. Step 3: Cross multiply
    495,742x = 787,894 × 787,894
  4. Step 4: Simplify right side
    495,742x = 620,776,955,236
  5. Step 5: Solve for x
    x = 620,776,955,236/495,742
  6. Step 6: Final answer
    x = 1,252,217.80

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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.