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Finding the Third Proportional to 713,667 and 972,058

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Solution

The third proportional to 713,667 and 972,058 is: 1,324,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,667 : 972,058 = 972,058 : x
  2. Step 2: Convert to fraction form
    713,667/972,058 = 972,058/x
  3. Step 3: Cross multiply
    713,667x = 972,058 × 972,058
  4. Step 4: Simplify right side
    713,667x = 944,896,755,364
  5. Step 5: Solve for x
    x = 944,896,755,364/713,667
  6. Step 6: Final answer
    x = 1,324,002.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.