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Finding the Third Proportional to 369,892 and 558,726

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Solution

The third proportional to 369,892 and 558,726 is: 843,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,892 : 558,726 = 558,726 : x
  2. Step 2: Convert to fraction form
    369,892/558,726 = 558,726/x
  3. Step 3: Cross multiply
    369,892x = 558,726 × 558,726
  4. Step 4: Simplify right side
    369,892x = 312,174,743,076
  5. Step 5: Solve for x
    x = 312,174,743,076/369,892
  6. Step 6: Final answer
    x = 843,961.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.