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Finding the Third Proportional to 523,528.31 and 1,139,760.28

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Solution

The third proportional to 523,528.31 and 1,139,760.28 is: 2,481,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,528.31 : 1,139,760.28 = 1,139,760.28 : x
  2. Step 2: Convert to fraction form
    523,528.31/1,139,760.28 = 1,139,760.28/x
  3. Step 3: Cross multiply
    523,528.31x = 1,139,760.28 × 1,139,760.28
  4. Step 4: Simplify right side
    523,528.31x = 1,299,053,498,715.08
  5. Step 5: Solve for x
    x = 1,299,053,498,715.08/523,528.31
  6. Step 6: Final answer
    x = 2,481,343.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.