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Finding the Third Proportional to 190,724 and 418,792

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Solution

The third proportional to 190,724 and 418,792 is: 919,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,724 : 418,792 = 418,792 : x
  2. Step 2: Convert to fraction form
    190,724/418,792 = 418,792/x
  3. Step 3: Cross multiply
    190,724x = 418,792 × 418,792
  4. Step 4: Simplify right side
    190,724x = 175,386,739,264
  5. Step 5: Solve for x
    x = 175,386,739,264/190,724
  6. Step 6: Final answer
    x = 919,584.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.