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Finding the Third Proportional to 456.56 and 560.06

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Solution

The third proportional to 456.56 and 560.06 is: 687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.56 : 560.06 = 560.06 : x
  2. Step 2: Convert to fraction form
    456.56/560.06 = 560.06/x
  3. Step 3: Cross multiply
    456.56x = 560.06 × 560.06
  4. Step 4: Simplify right side
    456.56x = 313,670.00
  5. Step 5: Solve for x
    x = 313,670.00/456.56
  6. Step 6: Final answer
    x = 687.03

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.