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Finding the Third Proportional to 276,604 and 563,362

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Solution

The third proportional to 276,604 and 563,362 is: 1,147,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,604 : 563,362 = 563,362 : x
  2. Step 2: Convert to fraction form
    276,604/563,362 = 563,362/x
  3. Step 3: Cross multiply
    276,604x = 563,362 × 563,362
  4. Step 4: Simplify right side
    276,604x = 317,376,743,044
  5. Step 5: Solve for x
    x = 317,376,743,044/276,604
  6. Step 6: Final answer
    x = 1,147,404.75

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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.