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Finding the Third Proportional to 382,781 and 824,058

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Solution

The third proportional to 382,781 and 824,058 is: 1,774,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,781 : 824,058 = 824,058 : x
  2. Step 2: Convert to fraction form
    382,781/824,058 = 824,058/x
  3. Step 3: Cross multiply
    382,781x = 824,058 × 824,058
  4. Step 4: Simplify right side
    382,781x = 679,071,587,364
  5. Step 5: Solve for x
    x = 679,071,587,364/382,781
  6. Step 6: Final answer
    x = 1,774,047.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.