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Finding the Third Proportional to 560.06 and 1,176.94

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Solution

The third proportional to 560.06 and 1,176.94 is: 2,473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.06 : 1,176.94 = 1,176.94 : x
  2. Step 2: Convert to fraction form
    560.06/1,176.94 = 1,176.94/x
  3. Step 3: Cross multiply
    560.06x = 1,176.94 × 1,176.94
  4. Step 4: Simplify right side
    560.06x = 1,385,181.88
  5. Step 5: Solve for x
    x = 1,385,181.88/560.06
  6. Step 6: Final answer
    x = 2,473.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.