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Finding the Third Proportional to 469,314 and 960,498

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Solution

The third proportional to 469,314 and 960,498 is: 1,965,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,314 : 960,498 = 960,498 : x
  2. Step 2: Convert to fraction form
    469,314/960,498 = 960,498/x
  3. Step 3: Cross multiply
    469,314x = 960,498 × 960,498
  4. Step 4: Simplify right side
    469,314x = 922,556,408,004
  5. Step 5: Solve for x
    x = 922,556,408,004/469,314
  6. Step 6: Final answer
    x = 1,965,755.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.