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Finding the Third Proportional to 386,562 and 544,365

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Solution

The third proportional to 386,562 and 544,365 is: 766,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,562 : 544,365 = 544,365 : x
  2. Step 2: Convert to fraction form
    386,562/544,365 = 544,365/x
  3. Step 3: Cross multiply
    386,562x = 544,365 × 544,365
  4. Step 4: Simplify right side
    386,562x = 296,333,253,225
  5. Step 5: Solve for x
    x = 296,333,253,225/386,562
  6. Step 6: Final answer
    x = 766,586.61

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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.