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Finding the Third Proportional to 367,466 and 787,417

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Solution

The third proportional to 367,466 and 787,417 is: 1,687,300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,466 : 787,417 = 787,417 : x
  2. Step 2: Convert to fraction form
    367,466/787,417 = 787,417/x
  3. Step 3: Cross multiply
    367,466x = 787,417 × 787,417
  4. Step 4: Simplify right side
    367,466x = 620,025,531,889
  5. Step 5: Solve for x
    x = 620,025,531,889/367,466
  6. Step 6: Final answer
    x = 1,687,300.41

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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.