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Finding the Third Proportional to 763,985.25 and 1,162,576.13

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Solution

The third proportional to 763,985.25 and 1,162,576.13 is: 1,769,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,985.25 : 1,162,576.13 = 1,162,576.13 : x
  2. Step 2: Convert to fraction form
    763,985.25/1,162,576.13 = 1,162,576.13/x
  3. Step 3: Cross multiply
    763,985.25x = 1,162,576.13 × 1,162,576.13
  4. Step 4: Simplify right side
    763,985.25x = 1,351,583,246,420.02
  5. Step 5: Solve for x
    x = 1,351,583,246,420.02/763,985.25
  6. Step 6: Final answer
    x = 1,769,122.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.