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Finding the Third Proportional to 386,566 and 544,370

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Solution

The third proportional to 386,566 and 544,370 is: 766,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,566 : 544,370 = 544,370 : x
  2. Step 2: Convert to fraction form
    386,566/544,370 = 544,370/x
  3. Step 3: Cross multiply
    386,566x = 544,370 × 544,370
  4. Step 4: Simplify right side
    386,566x = 296,338,696,900
  5. Step 5: Solve for x
    x = 296,338,696,900/386,566
  6. Step 6: Final answer
    x = 766,592.76

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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.