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Finding the Third Proportional to 362,607 and 768,435

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Solution

The third proportional to 362,607 and 768,435 is: 1,628,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,607 : 768,435 = 768,435 : x
  2. Step 2: Convert to fraction form
    362,607/768,435 = 768,435/x
  3. Step 3: Cross multiply
    362,607x = 768,435 × 768,435
  4. Step 4: Simplify right side
    362,607x = 590,492,349,225
  5. Step 5: Solve for x
    x = 590,492,349,225/362,607
  6. Step 6: Final answer
    x = 1,628,463.73

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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.