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Finding the Third Proportional to 913,309.50 and 1,467,531

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Solution

The third proportional to 913,309.50 and 1,467,531 is: 2,358,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,309.50 : 1,467,531 = 1,467,531 : x
  2. Step 2: Convert to fraction form
    913,309.50/1,467,531 = 1,467,531/x
  3. Step 3: Cross multiply
    913,309.50x = 1,467,531 × 1,467,531
  4. Step 4: Simplify right side
    913,309.50x = 2,153,647,235,961
  5. Step 5: Solve for x
    x = 2,153,647,235,961/913,309.50
  6. Step 6: Final answer
    x = 2,358,069.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.