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Finding the Third Proportional to 359,442.75 and 769,377

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Solution

The third proportional to 359,442.75 and 769,377 is: 1,646,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,442.75 : 769,377 = 769,377 : x
  2. Step 2: Convert to fraction form
    359,442.75/769,377 = 769,377/x
  3. Step 3: Cross multiply
    359,442.75x = 769,377 × 769,377
  4. Step 4: Simplify right side
    359,442.75x = 591,940,968,129
  5. Step 5: Solve for x
    x = 591,940,968,129/359,442.75
  6. Step 6: Final answer
    x = 1,646,829.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.