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Finding the Third Proportional to 258,721 and 565,538

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Solution

The third proportional to 258,721 and 565,538 is: 1,236,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,721 : 565,538 = 565,538 : x
  2. Step 2: Convert to fraction form
    258,721/565,538 = 565,538/x
  3. Step 3: Cross multiply
    258,721x = 565,538 × 565,538
  4. Step 4: Simplify right side
    258,721x = 319,833,229,444
  5. Step 5: Solve for x
    x = 319,833,229,444/258,721
  6. Step 6: Final answer
    x = 1,236,209.00

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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.