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Finding the Third Proportional to 256,629 and 563,562

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Solution

The third proportional to 256,629 and 563,562 is: 1,237,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,629 : 563,562 = 563,562 : x
  2. Step 2: Convert to fraction form
    256,629/563,562 = 563,562/x
  3. Step 3: Cross multiply
    256,629x = 563,562 × 563,562
  4. Step 4: Simplify right side
    256,629x = 317,602,127,844
  5. Step 5: Solve for x
    x = 317,602,127,844/256,629
  6. Step 6: Final answer
    x = 1,237,592.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.