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Finding the Third Proportional to 256,722 and 563,044

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Solution

The third proportional to 256,722 and 563,044 is: 1,234,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,722 : 563,044 = 563,044 : x
  2. Step 2: Convert to fraction form
    256,722/563,044 = 563,044/x
  3. Step 3: Cross multiply
    256,722x = 563,044 × 563,044
  4. Step 4: Simplify right side
    256,722x = 317,018,545,936
  5. Step 5: Solve for x
    x = 317,018,545,936/256,722
  6. Step 6: Final answer
    x = 1,234,870.97

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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.