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Finding the Third Proportional to 409,220 and 619,489.75

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Solution

The third proportional to 409,220 and 619,489.75 is: 937,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,220 : 619,489.75 = 619,489.75 : x
  2. Step 2: Convert to fraction form
    409,220/619,489.75 = 619,489.75/x
  3. Step 3: Cross multiply
    409,220x = 619,489.75 × 619,489.75
  4. Step 4: Simplify right side
    409,220x = 383,767,550,355.06
  5. Step 5: Solve for x
    x = 383,767,550,355.06/409,220
  6. Step 6: Final answer
    x = 937,802.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.