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Finding the Third Proportional to 600,782 and 901,292

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Solution

The third proportional to 600,782 and 901,292 is: 1,352,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,782 : 901,292 = 901,292 : x
  2. Step 2: Convert to fraction form
    600,782/901,292 = 901,292/x
  3. Step 3: Cross multiply
    600,782x = 901,292 × 901,292
  4. Step 4: Simplify right side
    600,782x = 812,327,269,264
  5. Step 5: Solve for x
    x = 812,327,269,264/600,782
  6. Step 6: Final answer
    x = 1,352,116.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.