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Finding the Third Proportional to 451,936 and 663,888

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Solution

The third proportional to 451,936 and 663,888 is: 975,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,936 : 663,888 = 663,888 : x
  2. Step 2: Convert to fraction form
    451,936/663,888 = 663,888/x
  3. Step 3: Cross multiply
    451,936x = 663,888 × 663,888
  4. Step 4: Simplify right side
    451,936x = 440,747,276,544
  5. Step 5: Solve for x
    x = 440,747,276,544/451,936
  6. Step 6: Final answer
    x = 975,242.68

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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.