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Finding the Third Proportional to 367,462 and 787,412

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Solution

The third proportional to 367,462 and 787,412 is: 1,687,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,462 : 787,412 = 787,412 : x
  2. Step 2: Convert to fraction form
    367,462/787,412 = 787,412/x
  3. Step 3: Cross multiply
    367,462x = 787,412 × 787,412
  4. Step 4: Simplify right side
    367,462x = 620,017,657,744
  5. Step 5: Solve for x
    x = 620,017,657,744/367,462
  6. Step 6: Final answer
    x = 1,687,297.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.