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Finding the Third Proportional to 258,602 and 569,048

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Solution

The third proportional to 258,602 and 569,048 is: 1,252,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,602 : 569,048 = 569,048 : x
  2. Step 2: Convert to fraction form
    258,602/569,048 = 569,048/x
  3. Step 3: Cross multiply
    258,602x = 569,048 × 569,048
  4. Step 4: Simplify right side
    258,602x = 323,815,626,304
  5. Step 5: Solve for x
    x = 323,815,626,304/258,602
  6. Step 6: Final answer
    x = 1,252,177.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.