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Finding the Third Proportional to 598.64 and 910.62

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Solution

The third proportional to 598.64 and 910.62 is: 1,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.64 : 910.62 = 910.62 : x
  2. Step 2: Convert to fraction form
    598.64/910.62 = 910.62/x
  3. Step 3: Cross multiply
    598.64x = 910.62 × 910.62
  4. Step 4: Simplify right side
    598.64x = 829,223.66
  5. Step 5: Solve for x
    x = 829,223.66/598.64
  6. Step 6: Final answer
    x = 1,385.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.