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Finding the Third Proportional to 240,394.50 and 512,955

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Solution

The third proportional to 240,394.50 and 512,955 is: 1,094,545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,394.50 : 512,955 = 512,955 : x
  2. Step 2: Convert to fraction form
    240,394.50/512,955 = 512,955/x
  3. Step 3: Cross multiply
    240,394.50x = 512,955 × 512,955
  4. Step 4: Simplify right side
    240,394.50x = 263,122,832,025
  5. Step 5: Solve for x
    x = 263,122,832,025/240,394.50
  6. Step 6: Final answer
    x = 1,094,545.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.