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Finding the Third Proportional to 286,654 and 596,836

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Solution

The third proportional to 286,654 and 596,836 is: 1,242,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,654 : 596,836 = 596,836 : x
  2. Step 2: Convert to fraction form
    286,654/596,836 = 596,836/x
  3. Step 3: Cross multiply
    286,654x = 596,836 × 596,836
  4. Step 4: Simplify right side
    286,654x = 356,213,210,896
  5. Step 5: Solve for x
    x = 356,213,210,896/286,654
  6. Step 6: Final answer
    x = 1,242,659.13

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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.