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Finding the Third Proportional to 560.25 and 840.38

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Solution

The third proportional to 560.25 and 840.38 is: 1,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.25 : 840.38 = 840.38 : x
  2. Step 2: Convert to fraction form
    560.25/840.38 = 840.38/x
  3. Step 3: Cross multiply
    560.25x = 840.38 × 840.38
  4. Step 4: Simplify right side
    560.25x = 706,230.14
  5. Step 5: Solve for x
    x = 706,230.14/560.25
  6. Step 6: Final answer
    x = 1,260.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.