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Finding the Third Proportional to 177,918 and 390,828

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Solution

The third proportional to 177,918 and 390,828 is: 858,522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,918 : 390,828 = 390,828 : x
  2. Step 2: Convert to fraction form
    177,918/390,828 = 390,828/x
  3. Step 3: Cross multiply
    177,918x = 390,828 × 390,828
  4. Step 4: Simplify right side
    177,918x = 152,746,525,584
  5. Step 5: Solve for x
    x = 152,746,525,584/177,918
  6. Step 6: Final answer
    x = 858,522.05

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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.