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Finding the Third Proportional to 542,872 and 798,090

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Solution

The third proportional to 542,872 and 798,090 is: 1,173,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,872 : 798,090 = 798,090 : x
  2. Step 2: Convert to fraction form
    542,872/798,090 = 798,090/x
  3. Step 3: Cross multiply
    542,872x = 798,090 × 798,090
  4. Step 4: Simplify right side
    542,872x = 636,947,648,100
  5. Step 5: Solve for x
    x = 636,947,648,100/542,872
  6. Step 6: Final answer
    x = 1,173,292.50

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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.