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Finding the Third Proportional to 278,323 and 596,000

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Solution

The third proportional to 278,323 and 596,000 is: 1,276,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,323 : 596,000 = 596,000 : x
  2. Step 2: Convert to fraction form
    278,323/596,000 = 596,000/x
  3. Step 3: Cross multiply
    278,323x = 596,000 × 596,000
  4. Step 4: Simplify right side
    278,323x = 355,216,000,000
  5. Step 5: Solve for x
    x = 355,216,000,000/278,323
  6. Step 6: Final answer
    x = 1,276,272.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.