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Finding the Third Proportional to 256,307 and 593,355

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Solution

The third proportional to 256,307 and 593,355 is: 1,373,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,307 : 593,355 = 593,355 : x
  2. Step 2: Convert to fraction form
    256,307/593,355 = 593,355/x
  3. Step 3: Cross multiply
    256,307x = 593,355 × 593,355
  4. Step 4: Simplify right side
    256,307x = 352,070,156,025
  5. Step 5: Solve for x
    x = 352,070,156,025/256,307
  6. Step 6: Final answer
    x = 1,373,626.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.