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Finding the Third Proportional to 492,174 and 748,215

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Solution

The third proportional to 492,174 and 748,215 is: 1,137,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,174 : 748,215 = 748,215 : x
  2. Step 2: Convert to fraction form
    492,174/748,215 = 748,215/x
  3. Step 3: Cross multiply
    492,174x = 748,215 × 748,215
  4. Step 4: Simplify right side
    492,174x = 559,825,686,225
  5. Step 5: Solve for x
    x = 559,825,686,225/492,174
  6. Step 6: Final answer
    x = 1,137,454.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.