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Finding the Third Proportional to 417.13 and 604.16

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Solution

The third proportional to 417.13 and 604.16 is: 875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.13 : 604.16 = 604.16 : x
  2. Step 2: Convert to fraction form
    417.13/604.16 = 604.16/x
  3. Step 3: Cross multiply
    417.13x = 604.16 × 604.16
  4. Step 4: Simplify right side
    417.13x = 365,004.77
  5. Step 5: Solve for x
    x = 365,004.77/417.13
  6. Step 6: Final answer
    x = 875.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.