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Finding the Third Proportional to 560.04 and 1,204.45

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Solution

The third proportional to 560.04 and 1,204.45 is: 2,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.04 : 1,204.45 = 1,204.45 : x
  2. Step 2: Convert to fraction form
    560.04/1,204.45 = 1,204.45/x
  3. Step 3: Cross multiply
    560.04x = 1,204.45 × 1,204.45
  4. Step 4: Simplify right side
    560.04x = 1,450,707.33
  5. Step 5: Solve for x
    x = 1,450,707.33/560.04
  6. Step 6: Final answer
    x = 2,590.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.