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Finding the Third Proportional to 608,069 and 800,364

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Solution

The third proportional to 608,069 and 800,364 is: 1,053,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,069 : 800,364 = 800,364 : x
  2. Step 2: Convert to fraction form
    608,069/800,364 = 800,364/x
  3. Step 3: Cross multiply
    608,069x = 800,364 × 800,364
  4. Step 4: Simplify right side
    608,069x = 640,582,532,496
  5. Step 5: Solve for x
    x = 640,582,532,496/608,069
  6. Step 6: Final answer
    x = 1,053,470.14

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.