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Finding the Third Proportional to 243,274 and 387,396

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Solution

The third proportional to 243,274 and 387,396 is: 616,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,274 : 387,396 = 387,396 : x
  2. Step 2: Convert to fraction form
    243,274/387,396 = 387,396/x
  3. Step 3: Cross multiply
    243,274x = 387,396 × 387,396
  4. Step 4: Simplify right side
    243,274x = 150,075,660,816
  5. Step 5: Solve for x
    x = 150,075,660,816/243,274
  6. Step 6: Final answer
    x = 616,899.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.