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Finding the Third Proportional to 544,232 and 818,424

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Solution

The third proportional to 544,232 and 818,424 is: 1,230,757.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,232 : 818,424 = 818,424 : x
  2. Step 2: Convert to fraction form
    544,232/818,424 = 818,424/x
  3. Step 3: Cross multiply
    544,232x = 818,424 × 818,424
  4. Step 4: Simplify right side
    544,232x = 669,817,843,776
  5. Step 5: Solve for x
    x = 669,817,843,776/544,232
  6. Step 6: Final answer
    x = 1,230,757.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.