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Finding the Third Proportional to 466,967 and 700,451

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Solution

The third proportional to 466,967 and 700,451 is: 1,050,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,967 : 700,451 = 700,451 : x
  2. Step 2: Convert to fraction form
    466,967/700,451 = 700,451/x
  3. Step 3: Cross multiply
    466,967x = 700,451 × 700,451
  4. Step 4: Simplify right side
    466,967x = 490,631,603,401
  5. Step 5: Solve for x
    x = 490,631,603,401/466,967
  6. Step 6: Final answer
    x = 1,050,677.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.