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Finding the Third Proportional to 337,527 and 492,957

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Solution

The third proportional to 337,527 and 492,957 is: 719,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,527 : 492,957 = 492,957 : x
  2. Step 2: Convert to fraction form
    337,527/492,957 = 492,957/x
  3. Step 3: Cross multiply
    337,527x = 492,957 × 492,957
  4. Step 4: Simplify right side
    337,527x = 243,006,603,849
  5. Step 5: Solve for x
    x = 243,006,603,849/337,527
  6. Step 6: Final answer
    x = 719,961.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.