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Finding the Third Proportional to 386,564 and 544,368

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Solution

The third proportional to 386,564 and 544,368 is: 766,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,564 : 544,368 = 544,368 : x
  2. Step 2: Convert to fraction form
    386,564/544,368 = 544,368/x
  3. Step 3: Cross multiply
    386,564x = 544,368 × 544,368
  4. Step 4: Simplify right side
    386,564x = 296,336,519,424
  5. Step 5: Solve for x
    x = 296,336,519,424/386,564
  6. Step 6: Final answer
    x = 766,591.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.