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Finding the Third Proportional to 427,697.72 and 597,947.06

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Solution

The third proportional to 427,697.72 and 597,947.06 is: 835,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,697.72 : 597,947.06 = 597,947.06 : x
  2. Step 2: Convert to fraction form
    427,697.72/597,947.06 = 597,947.06/x
  3. Step 3: Cross multiply
    427,697.72x = 597,947.06 × 597,947.06
  4. Step 4: Simplify right side
    427,697.72x = 357,540,689,552.38
  5. Step 5: Solve for x
    x = 357,540,689,552.38/427,697.72
  6. Step 6: Final answer
    x = 835,965.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.