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Finding the Third Proportional to 256,832 and 382,528

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Solution

The third proportional to 256,832 and 382,528 is: 569,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,832 : 382,528 = 382,528 : x
  2. Step 2: Convert to fraction form
    256,832/382,528 = 382,528/x
  3. Step 3: Cross multiply
    256,832x = 382,528 × 382,528
  4. Step 4: Simplify right side
    256,832x = 146,327,670,784
  5. Step 5: Solve for x
    x = 146,327,670,784/256,832
  6. Step 6: Final answer
    x = 569,740.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.