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Finding the Third Proportional to 542,610 and 798,227

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Solution

The third proportional to 542,610 and 798,227 is: 1,174,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,610 : 798,227 = 798,227 : x
  2. Step 2: Convert to fraction form
    542,610/798,227 = 798,227/x
  3. Step 3: Cross multiply
    542,610x = 798,227 × 798,227
  4. Step 4: Simplify right side
    542,610x = 637,166,343,529
  5. Step 5: Solve for x
    x = 637,166,343,529/542,610
  6. Step 6: Final answer
    x = 1,174,262.07

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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.