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Finding the Third Proportional to 451,658 and 660,526

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Solution

The third proportional to 451,658 and 660,526 is: 965,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,658 : 660,526 = 660,526 : x
  2. Step 2: Convert to fraction form
    451,658/660,526 = 660,526/x
  3. Step 3: Cross multiply
    451,658x = 660,526 × 660,526
  4. Step 4: Simplify right side
    451,658x = 436,294,596,676
  5. Step 5: Solve for x
    x = 436,294,596,676/451,658
  6. Step 6: Final answer
    x = 965,984.43

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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.