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Finding the Third Proportional to 351,901 and 767,315

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Solution

The third proportional to 351,901 and 767,315 is: 1,673,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,901 : 767,315 = 767,315 : x
  2. Step 2: Convert to fraction form
    351,901/767,315 = 767,315/x
  3. Step 3: Cross multiply
    351,901x = 767,315 × 767,315
  4. Step 4: Simplify right side
    351,901x = 588,772,309,225
  5. Step 5: Solve for x
    x = 588,772,309,225/351,901
  6. Step 6: Final answer
    x = 1,673,119.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.