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Finding the Third Proportional to 500,041 and 794,348

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Solution

The third proportional to 500,041 and 794,348 is: 1,261,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,041 : 794,348 = 794,348 : x
  2. Step 2: Convert to fraction form
    500,041/794,348 = 794,348/x
  3. Step 3: Cross multiply
    500,041x = 794,348 × 794,348
  4. Step 4: Simplify right side
    500,041x = 630,988,745,104
  5. Step 5: Solve for x
    x = 630,988,745,104/500,041
  6. Step 6: Final answer
    x = 1,261,874.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.