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Finding the Third Proportional to 451,659 and 660,527

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Solution

The third proportional to 451,659 and 660,527 is: 965,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,659 : 660,527 = 660,527 : x
  2. Step 2: Convert to fraction form
    451,659/660,527 = 660,527/x
  3. Step 3: Cross multiply
    451,659x = 660,527 × 660,527
  4. Step 4: Simplify right side
    451,659x = 436,295,917,729
  5. Step 5: Solve for x
    x = 436,295,917,729/451,659
  6. Step 6: Final answer
    x = 965,985.22

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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.