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Finding the Third Proportional to 276,602 and 563,348

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Solution

The third proportional to 276,602 and 563,348 is: 1,147,356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,602 : 563,348 = 563,348 : x
  2. Step 2: Convert to fraction form
    276,602/563,348 = 563,348/x
  3. Step 3: Cross multiply
    276,602x = 563,348 × 563,348
  4. Step 4: Simplify right side
    276,602x = 317,360,969,104
  5. Step 5: Solve for x
    x = 317,360,969,104/276,602
  6. Step 6: Final answer
    x = 1,147,356.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.