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Finding the Third Proportional to 513,732.75 and 1,115,006.25

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Solution

The third proportional to 513,732.75 and 1,115,006.25 is: 2,420,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,732.75 : 1,115,006.25 = 1,115,006.25 : x
  2. Step 2: Convert to fraction form
    513,732.75/1,115,006.25 = 1,115,006.25/x
  3. Step 3: Cross multiply
    513,732.75x = 1,115,006.25 × 1,115,006.25
  4. Step 4: Simplify right side
    513,732.75x = 1,243,238,937,539.06
  5. Step 5: Solve for x
    x = 1,243,238,937,539.06/513,732.75
  6. Step 6: Final answer
    x = 2,420,011.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.