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Finding the Third Proportional to 345,123 and 741,478.13

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Solution

The third proportional to 345,123 and 741,478.13 is: 1,593,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,123 : 741,478.13 = 741,478.13 : x
  2. Step 2: Convert to fraction form
    345,123/741,478.13 = 741,478.13/x
  3. Step 3: Cross multiply
    345,123x = 741,478.13 × 741,478.13
  4. Step 4: Simplify right side
    345,123x = 549,789,809,853.52
  5. Step 5: Solve for x
    x = 549,789,809,853.52/345,123
  6. Step 6: Final answer
    x = 1,593,025.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.