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Finding the Third Proportional to 362,356 and 768,559

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Solution

The third proportional to 362,356 and 768,559 is: 1,630,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,356 : 768,559 = 768,559 : x
  2. Step 2: Convert to fraction form
    362,356/768,559 = 768,559/x
  3. Step 3: Cross multiply
    362,356x = 768,559 × 768,559
  4. Step 4: Simplify right side
    362,356x = 590,682,936,481
  5. Step 5: Solve for x
    x = 590,682,936,481/362,356
  6. Step 6: Final answer
    x = 1,630,117.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.