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Finding the Third Proportional to 236,877 and 364,464

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Solution

The third proportional to 236,877 and 364,464 is: 560,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,877 : 364,464 = 364,464 : x
  2. Step 2: Convert to fraction form
    236,877/364,464 = 364,464/x
  3. Step 3: Cross multiply
    236,877x = 364,464 × 364,464
  4. Step 4: Simplify right side
    236,877x = 132,834,007,296
  5. Step 5: Solve for x
    x = 132,834,007,296/236,877
  6. Step 6: Final answer
    x = 560,772.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.