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Finding the Third Proportional to 451,738 and 662,526

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Solution

The third proportional to 451,738 and 662,526 is: 971,670.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,738 : 662,526 = 662,526 : x
  2. Step 2: Convert to fraction form
    451,738/662,526 = 662,526/x
  3. Step 3: Cross multiply
    451,738x = 662,526 × 662,526
  4. Step 4: Simplify right side
    451,738x = 438,940,700,676
  5. Step 5: Solve for x
    x = 438,940,700,676/451,738
  6. Step 6: Final answer
    x = 971,670.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.