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Finding the Third Proportional to 286,481 and 596,496

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Solution

The third proportional to 286,481 and 596,496 is: 1,241,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,481 : 596,496 = 596,496 : x
  2. Step 2: Convert to fraction form
    286,481/596,496 = 596,496/x
  3. Step 3: Cross multiply
    286,481x = 596,496 × 596,496
  4. Step 4: Simplify right side
    286,481x = 355,807,478,016
  5. Step 5: Solve for x
    x = 355,807,478,016/286,481
  6. Step 6: Final answer
    x = 1,241,993.28

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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.