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Finding the Third Proportional to 258,536.25 and 558,585

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Solution

The third proportional to 258,536.25 and 558,585 is: 1,206,860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,536.25 : 558,585 = 558,585 : x
  2. Step 2: Convert to fraction form
    258,536.25/558,585 = 558,585/x
  3. Step 3: Cross multiply
    258,536.25x = 558,585 × 558,585
  4. Step 4: Simplify right side
    258,536.25x = 312,017,202,225
  5. Step 5: Solve for x
    x = 312,017,202,225/258,536.25
  6. Step 6: Final answer
    x = 1,206,860.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.