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Finding the Third Proportional to 542,868 and 798,084

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Solution

The third proportional to 542,868 and 798,084 is: 1,173,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,868 : 798,084 = 798,084 : x
  2. Step 2: Convert to fraction form
    542,868/798,084 = 798,084/x
  3. Step 3: Cross multiply
    542,868x = 798,084 × 798,084
  4. Step 4: Simplify right side
    542,868x = 636,938,071,056
  5. Step 5: Solve for x
    x = 636,938,071,056/542,868
  6. Step 6: Final answer
    x = 1,173,283.51

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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.