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Finding the Third Proportional to 514,876.50 and 1,115,532

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Solution

The third proportional to 514,876.50 and 1,115,532 is: 2,416,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,876.50 : 1,115,532 = 1,115,532 : x
  2. Step 2: Convert to fraction form
    514,876.50/1,115,532 = 1,115,532/x
  3. Step 3: Cross multiply
    514,876.50x = 1,115,532 × 1,115,532
  4. Step 4: Simplify right side
    514,876.50x = 1,244,411,643,024
  5. Step 5: Solve for x
    x = 1,244,411,643,024/514,876.50
  6. Step 6: Final answer
    x = 2,416,912.88

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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.