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Finding the Third Proportional to 278,327 and 596,008

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Solution

The third proportional to 278,327 and 596,008 is: 1,276,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,327 : 596,008 = 596,008 : x
  2. Step 2: Convert to fraction form
    278,327/596,008 = 596,008/x
  3. Step 3: Cross multiply
    278,327x = 596,008 × 596,008
  4. Step 4: Simplify right side
    278,327x = 355,225,536,064
  5. Step 5: Solve for x
    x = 355,225,536,064/278,327
  6. Step 6: Final answer
    x = 1,276,288.45

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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.