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Finding the Third Proportional to 276,496 and 606,560

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Solution

The third proportional to 276,496 and 606,560 is: 1,330,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,496 : 606,560 = 606,560 : x
  2. Step 2: Convert to fraction form
    276,496/606,560 = 606,560/x
  3. Step 3: Cross multiply
    276,496x = 606,560 × 606,560
  4. Step 4: Simplify right side
    276,496x = 367,915,033,600
  5. Step 5: Solve for x
    x = 367,915,033,600/276,496
  6. Step 6: Final answer
    x = 1,330,634.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.