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Finding the Third Proportional to 258,754 and 565,596

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Solution

The third proportional to 258,754 and 565,596 is: 1,236,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,754 : 565,596 = 565,596 : x
  2. Step 2: Convert to fraction form
    258,754/565,596 = 565,596/x
  3. Step 3: Cross multiply
    258,754x = 565,596 × 565,596
  4. Step 4: Simplify right side
    258,754x = 319,898,835,216
  5. Step 5: Solve for x
    x = 319,898,835,216/258,754
  6. Step 6: Final answer
    x = 1,236,304.89

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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.