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Finding the Third Proportional to 276,488 and 606,544

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Solution

The third proportional to 276,488 and 606,544 is: 1,330,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,488 : 606,544 = 606,544 : x
  2. Step 2: Convert to fraction form
    276,488/606,544 = 606,544/x
  3. Step 3: Cross multiply
    276,488x = 606,544 × 606,544
  4. Step 4: Simplify right side
    276,488x = 367,895,623,936
  5. Step 5: Solve for x
    x = 367,895,623,936/276,488
  6. Step 6: Final answer
    x = 1,330,602.50

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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.