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Finding the Third Proportional to 240,383 and 373,683

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Solution

The third proportional to 240,383 and 373,683 is: 580,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,383 : 373,683 = 373,683 : x
  2. Step 2: Convert to fraction form
    240,383/373,683 = 373,683/x
  3. Step 3: Cross multiply
    240,383x = 373,683 × 373,683
  4. Step 4: Simplify right side
    240,383x = 139,638,984,489
  5. Step 5: Solve for x
    x = 139,638,984,489/240,383
  6. Step 6: Final answer
    x = 580,902.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.