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Finding the Third Proportional to 256,728 and 563,056

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Solution

The third proportional to 256,728 and 563,056 is: 1,234,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,728 : 563,056 = 563,056 : x
  2. Step 2: Convert to fraction form
    256,728/563,056 = 563,056/x
  3. Step 3: Cross multiply
    256,728x = 563,056 × 563,056
  4. Step 4: Simplify right side
    256,728x = 317,032,059,136
  5. Step 5: Solve for x
    x = 317,032,059,136/256,728
  6. Step 6: Final answer
    x = 1,234,894.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.