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Finding the Third Proportional to 542,610 and 798,228

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Solution

The third proportional to 542,610 and 798,228 is: 1,174,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,610 : 798,228 = 798,228 : x
  2. Step 2: Convert to fraction form
    542,610/798,228 = 798,228/x
  3. Step 3: Cross multiply
    542,610x = 798,228 × 798,228
  4. Step 4: Simplify right side
    542,610x = 637,167,939,984
  5. Step 5: Solve for x
    x = 637,167,939,984/542,610
  6. Step 6: Final answer
    x = 1,174,265.02

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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.