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Finding the Third Proportional to 289,386 and 600,948

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Solution

The third proportional to 289,386 and 600,948 is: 1,247,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,386 : 600,948 = 600,948 : x
  2. Step 2: Convert to fraction form
    289,386/600,948 = 600,948/x
  3. Step 3: Cross multiply
    289,386x = 600,948 × 600,948
  4. Step 4: Simplify right side
    289,386x = 361,138,498,704
  5. Step 5: Solve for x
    x = 361,138,498,704/289,386
  6. Step 6: Final answer
    x = 1,247,947.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.