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Finding the Third Proportional to 258,516 and 558,540

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Solution

The third proportional to 258,516 and 558,540 is: 1,206,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,516 : 558,540 = 558,540 : x
  2. Step 2: Convert to fraction form
    258,516/558,540 = 558,540/x
  3. Step 3: Cross multiply
    258,516x = 558,540 × 558,540
  4. Step 4: Simplify right side
    258,516x = 311,966,931,600
  5. Step 5: Solve for x
    x = 311,966,931,600/258,516
  6. Step 6: Final answer
    x = 1,206,760.63

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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.