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Finding the Third Proportional to 542,834 and 798,033

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Solution

The third proportional to 542,834 and 798,033 is: 1,173,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,834 : 798,033 = 798,033 : x
  2. Step 2: Convert to fraction form
    542,834/798,033 = 798,033/x
  3. Step 3: Cross multiply
    542,834x = 798,033 × 798,033
  4. Step 4: Simplify right side
    542,834x = 636,856,669,089
  5. Step 5: Solve for x
    x = 636,856,669,089/542,834
  6. Step 6: Final answer
    x = 1,173,207.04

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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.