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Finding the Third Proportional to 600,418 and 913,000

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Solution

The third proportional to 600,418 and 913,000 is: 1,388,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,418 : 913,000 = 913,000 : x
  2. Step 2: Convert to fraction form
    600,418/913,000 = 913,000/x
  3. Step 3: Cross multiply
    600,418x = 913,000 × 913,000
  4. Step 4: Simplify right side
    600,418x = 833,569,000,000
  5. Step 5: Solve for x
    x = 833,569,000,000/600,418
  6. Step 6: Final answer
    x = 1,388,314.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.