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Finding the Third Proportional to 276,816 and 598,020

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Solution

The third proportional to 276,816 and 598,020 is: 1,291,933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,816 : 598,020 = 598,020 : x
  2. Step 2: Convert to fraction form
    276,816/598,020 = 598,020/x
  3. Step 3: Cross multiply
    276,816x = 598,020 × 598,020
  4. Step 4: Simplify right side
    276,816x = 357,627,920,400
  5. Step 5: Solve for x
    x = 357,627,920,400/276,816
  6. Step 6: Final answer
    x = 1,291,933.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.