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Finding the Third Proportional to 542,666 and 798,285

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Solution

The third proportional to 542,666 and 798,285 is: 1,174,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,666 : 798,285 = 798,285 : x
  2. Step 2: Convert to fraction form
    542,666/798,285 = 798,285/x
  3. Step 3: Cross multiply
    542,666x = 798,285 × 798,285
  4. Step 4: Simplify right side
    542,666x = 637,258,941,225
  5. Step 5: Solve for x
    x = 637,258,941,225/542,666
  6. Step 6: Final answer
    x = 1,174,311.53

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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.