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Finding the Third Proportional to 532,396.50 and 1,153,317

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Solution

The third proportional to 532,396.50 and 1,153,317 is: 2,498,401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,396.50 : 1,153,317 = 1,153,317 : x
  2. Step 2: Convert to fraction form
    532,396.50/1,153,317 = 1,153,317/x
  3. Step 3: Cross multiply
    532,396.50x = 1,153,317 × 1,153,317
  4. Step 4: Simplify right side
    532,396.50x = 1,330,140,102,489
  5. Step 5: Solve for x
    x = 1,330,140,102,489/532,396.50
  6. Step 6: Final answer
    x = 2,498,401.29

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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.