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Finding the Third Proportional to 558,857 and 886,382

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Solution

The third proportional to 558,857 and 886,382 is: 1,405,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,857 : 886,382 = 886,382 : x
  2. Step 2: Convert to fraction form
    558,857/886,382 = 886,382/x
  3. Step 3: Cross multiply
    558,857x = 886,382 × 886,382
  4. Step 4: Simplify right side
    558,857x = 785,673,049,924
  5. Step 5: Solve for x
    x = 785,673,049,924/558,857
  6. Step 6: Final answer
    x = 1,405,857.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.