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Finding the Third Proportional to 337,527 and 474,709.50

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Solution

The third proportional to 337,527 and 474,709.50 is: 667,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,527 : 474,709.50 = 474,709.50 : x
  2. Step 2: Convert to fraction form
    337,527/474,709.50 = 474,709.50/x
  3. Step 3: Cross multiply
    337,527x = 474,709.50 × 474,709.50
  4. Step 4: Simplify right side
    337,527x = 225,349,109,390.25
  5. Step 5: Solve for x
    x = 225,349,109,390.25/337,527
  6. Step 6: Final answer
    x = 667,647.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.