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Finding the Third Proportional to 542,830 and 798,024

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Solution

The third proportional to 542,830 and 798,024 is: 1,173,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,830 : 798,024 = 798,024 : x
  2. Step 2: Convert to fraction form
    542,830/798,024 = 798,024/x
  3. Step 3: Cross multiply
    542,830x = 798,024 × 798,024
  4. Step 4: Simplify right side
    542,830x = 636,842,304,576
  5. Step 5: Solve for x
    x = 636,842,304,576/542,830
  6. Step 6: Final answer
    x = 1,173,189.22

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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.