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Finding the Third Proportional to 361,637 and 787,564

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Solution

The third proportional to 361,637 and 787,564 is: 1,715,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,637 : 787,564 = 787,564 : x
  2. Step 2: Convert to fraction form
    361,637/787,564 = 787,564/x
  3. Step 3: Cross multiply
    361,637x = 787,564 × 787,564
  4. Step 4: Simplify right side
    361,637x = 620,257,054,096
  5. Step 5: Solve for x
    x = 620,257,054,096/361,637
  6. Step 6: Final answer
    x = 1,715,137.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.