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Finding the Third Proportional to 362,610 and 777,668

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Solution

The third proportional to 362,610 and 777,668 is: 1,667,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,610 : 777,668 = 777,668 : x
  2. Step 2: Convert to fraction form
    362,610/777,668 = 777,668/x
  3. Step 3: Cross multiply
    362,610x = 777,668 × 777,668
  4. Step 4: Simplify right side
    362,610x = 604,767,518,224
  5. Step 5: Solve for x
    x = 604,767,518,224/362,610
  6. Step 6: Final answer
    x = 1,667,818.09

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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.