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Finding the Third Proportional to 451,683 and 619,369

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Solution

The third proportional to 451,683 and 619,369 is: 849,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,683 : 619,369 = 619,369 : x
  2. Step 2: Convert to fraction form
    451,683/619,369 = 619,369/x
  3. Step 3: Cross multiply
    451,683x = 619,369 × 619,369
  4. Step 4: Simplify right side
    451,683x = 383,617,958,161
  5. Step 5: Solve for x
    x = 383,617,958,161/451,683
  6. Step 6: Final answer
    x = 849,307.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.