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Finding the Third Proportional to 318,432 and 511,320

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Solution

The third proportional to 318,432 and 511,320 is: 821,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,432 : 511,320 = 511,320 : x
  2. Step 2: Convert to fraction form
    318,432/511,320 = 511,320/x
  3. Step 3: Cross multiply
    318,432x = 511,320 × 511,320
  4. Step 4: Simplify right side
    318,432x = 261,448,142,400
  5. Step 5: Solve for x
    x = 261,448,142,400/318,432
  6. Step 6: Final answer
    x = 821,048.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.