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Finding the Third Proportional to 451,636 and 660,492

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Solution

The third proportional to 451,636 and 660,492 is: 965,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,636 : 660,492 = 660,492 : x
  2. Step 2: Convert to fraction form
    451,636/660,492 = 660,492/x
  3. Step 3: Cross multiply
    451,636x = 660,492 × 660,492
  4. Step 4: Simplify right side
    451,636x = 436,249,682,064
  5. Step 5: Solve for x
    x = 436,249,682,064/451,636
  6. Step 6: Final answer
    x = 965,932.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.