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Finding the Third Proportional to 278,330 and 596,013

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Solution

The third proportional to 278,330 and 596,013 is: 1,276,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,330 : 596,013 = 596,013 : x
  2. Step 2: Convert to fraction form
    278,330/596,013 = 596,013/x
  3. Step 3: Cross multiply
    278,330x = 596,013 × 596,013
  4. Step 4: Simplify right side
    278,330x = 355,231,496,169
  5. Step 5: Solve for x
    x = 355,231,496,169/278,330
  6. Step 6: Final answer
    x = 1,276,296.11

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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.