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Finding the Third Proportional to 560.67 and 1,320.05

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Solution

The third proportional to 560.67 and 1,320.05 is: 3,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.67 : 1,320.05 = 1,320.05 : x
  2. Step 2: Convert to fraction form
    560.67/1,320.05 = 1,320.05/x
  3. Step 3: Cross multiply
    560.67x = 1,320.05 × 1,320.05
  4. Step 4: Simplify right side
    560.67x = 1,742,523.75
  5. Step 5: Solve for x
    x = 1,742,523.75/560.67
  6. Step 6: Final answer
    x = 3,107.92

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.