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Finding the Third Proportional to 393,853 and 864,292

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Solution

The third proportional to 393,853 and 864,292 is: 1,896,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,853 : 864,292 = 864,292 : x
  2. Step 2: Convert to fraction form
    393,853/864,292 = 864,292/x
  3. Step 3: Cross multiply
    393,853x = 864,292 × 864,292
  4. Step 4: Simplify right side
    393,853x = 747,000,661,264
  5. Step 5: Solve for x
    x = 747,000,661,264/393,853
  6. Step 6: Final answer
    x = 1,896,648.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.