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Finding the Third Proportional to 451,657 and 660,524

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Solution

The third proportional to 451,657 and 660,524 is: 965,980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,657 : 660,524 = 660,524 : x
  2. Step 2: Convert to fraction form
    451,657/660,524 = 660,524/x
  3. Step 3: Cross multiply
    451,657x = 660,524 × 660,524
  4. Step 4: Simplify right side
    451,657x = 436,291,954,576
  5. Step 5: Solve for x
    x = 436,291,954,576/451,657
  6. Step 6: Final answer
    x = 965,980.72

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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.