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Finding the Third Proportional to 362,742 and 777,900

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Solution

The third proportional to 362,742 and 777,900 is: 1,668,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,742 : 777,900 = 777,900 : x
  2. Step 2: Convert to fraction form
    362,742/777,900 = 777,900/x
  3. Step 3: Cross multiply
    362,742x = 777,900 × 777,900
  4. Step 4: Simplify right side
    362,742x = 605,128,410,000
  5. Step 5: Solve for x
    x = 605,128,410,000/362,742
  6. Step 6: Final answer
    x = 1,668,206.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.