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Finding the Third Proportional to 559.31 and 1,210.13

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Solution

The third proportional to 559.31 and 1,210.13 is: 2,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.31 : 1,210.13 = 1,210.13 : x
  2. Step 2: Convert to fraction form
    559.31/1,210.13 = 1,210.13/x
  3. Step 3: Cross multiply
    559.31x = 1,210.13 × 1,210.13
  4. Step 4: Simplify right side
    559.31x = 1,464,402.52
  5. Step 5: Solve for x
    x = 1,464,402.52/559.31
  6. Step 6: Final answer
    x = 2,618.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.