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Finding the Third Proportional to 560 and 1,499

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Solution

The third proportional to 560 and 1,499 is: 4,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    560 : 1,499 = 1,499 : x
  2. Step 2: Convert to fraction form
    560/1,499 = 1,499/x
  3. Step 3: Cross multiply
    560x = 1,499 × 1,499
  4. Step 4: Simplify right side
    560x = 2,247,001
  5. Step 5: Solve for x
    x = 2,247,001/560
  6. Step 6: Final answer
    x = 4,012.50

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.