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Finding the Third Proportional to 367,614 and 586,413

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Solution

The third proportional to 367,614 and 586,413 is: 935,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,614 : 586,413 = 586,413 : x
  2. Step 2: Convert to fraction form
    367,614/586,413 = 586,413/x
  3. Step 3: Cross multiply
    367,614x = 586,413 × 586,413
  4. Step 4: Simplify right side
    367,614x = 343,880,206,569
  5. Step 5: Solve for x
    x = 343,880,206,569/367,614
  6. Step 6: Final answer
    x = 935,438.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.