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Finding the Third Proportional to 597,904.88 and 1,275,631.88

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Solution

The third proportional to 597,904.88 and 1,275,631.88 is: 2,721,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,904.88 : 1,275,631.88 = 1,275,631.88 : x
  2. Step 2: Convert to fraction form
    597,904.88/1,275,631.88 = 1,275,631.88/x
  3. Step 3: Cross multiply
    597,904.88x = 1,275,631.88 × 1,275,631.88
  4. Step 4: Simplify right side
    597,904.88x = 1,627,236,680,516.02
  5. Step 5: Solve for x
    x = 1,627,236,680,516.02/597,904.88
  6. Step 6: Final answer
    x = 2,721,564.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.