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Finding the Third Proportional to 386,950.50 and 586,267.88

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Solution

The third proportional to 386,950.50 and 586,267.88 is: 888,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,950.50 : 586,267.88 = 586,267.88 : x
  2. Step 2: Convert to fraction form
    386,950.50/586,267.88 = 586,267.88/x
  3. Step 3: Cross multiply
    386,950.50x = 586,267.88 × 586,267.88
  4. Step 4: Simplify right side
    386,950.50x = 343,710,021,257.02
  5. Step 5: Solve for x
    x = 343,710,021,257.02/386,950.50
  6. Step 6: Final answer
    x = 888,253.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.