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Finding the Third Proportional to 614.63 and 1,330.13

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Solution

The third proportional to 614.63 and 1,330.13 is: 2,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.63 : 1,330.13 = 1,330.13 : x
  2. Step 2: Convert to fraction form
    614.63/1,330.13 = 1,330.13/x
  3. Step 3: Cross multiply
    614.63x = 1,330.13 × 1,330.13
  4. Step 4: Simplify right side
    614.63x = 1,769,232.52
  5. Step 5: Solve for x
    x = 1,769,232.52/614.63
  6. Step 6: Final answer
    x = 2,878.56

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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.