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Finding the Third Proportional to 386,561 and 544,363

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Solution

The third proportional to 386,561 and 544,363 is: 766,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,561 : 544,363 = 544,363 : x
  2. Step 2: Convert to fraction form
    386,561/544,363 = 544,363/x
  3. Step 3: Cross multiply
    386,561x = 544,363 × 544,363
  4. Step 4: Simplify right side
    386,561x = 296,331,075,769
  5. Step 5: Solve for x
    x = 296,331,075,769/386,561
  6. Step 6: Final answer
    x = 766,582.96

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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.