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Finding the Third Proportional to 542,869 and 798,514

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Solution

The third proportional to 542,869 and 798,514 is: 1,174,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,869 : 798,514 = 798,514 : x
  2. Step 2: Convert to fraction form
    542,869/798,514 = 798,514/x
  3. Step 3: Cross multiply
    542,869x = 798,514 × 798,514
  4. Step 4: Simplify right side
    542,869x = 637,624,608,196
  5. Step 5: Solve for x
    x = 637,624,608,196/542,869
  6. Step 6: Final answer
    x = 1,174,545.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.