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Finding the Third Proportional to 598.01 and 1,307.07

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Solution

The third proportional to 598.01 and 1,307.07 is: 2,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.01 : 1,307.07 = 1,307.07 : x
  2. Step 2: Convert to fraction form
    598.01/1,307.07 = 1,307.07/x
  3. Step 3: Cross multiply
    598.01x = 1,307.07 × 1,307.07
  4. Step 4: Simplify right side
    598.01x = 1,708,443.01
  5. Step 5: Solve for x
    x = 1,708,443.01/598.01
  6. Step 6: Final answer
    x = 2,856.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.