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Finding the Third Proportional to 268,769 and 563,418

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Solution

The third proportional to 268,769 and 563,418 is: 1,181,088.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,769 : 563,418 = 563,418 : x
  2. Step 2: Convert to fraction form
    268,769/563,418 = 563,418/x
  3. Step 3: Cross multiply
    268,769x = 563,418 × 563,418
  4. Step 4: Simplify right side
    268,769x = 317,439,842,724
  5. Step 5: Solve for x
    x = 317,439,842,724/268,769
  6. Step 6: Final answer
    x = 1,181,088.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.