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Finding the Third Proportional to 289,382 and 600,940

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Solution

The third proportional to 289,382 and 600,940 is: 1,247,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,382 : 600,940 = 600,940 : x
  2. Step 2: Convert to fraction form
    289,382/600,940 = 600,940/x
  3. Step 3: Cross multiply
    289,382x = 600,940 × 600,940
  4. Step 4: Simplify right side
    289,382x = 361,128,883,600
  5. Step 5: Solve for x
    x = 361,128,883,600/289,382
  6. Step 6: Final answer
    x = 1,247,931.40

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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.