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Finding the Third Proportional to 359,871 and 774,228

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Solution

The third proportional to 359,871 and 774,228 is: 1,665,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,871 : 774,228 = 774,228 : x
  2. Step 2: Convert to fraction form
    359,871/774,228 = 774,228/x
  3. Step 3: Cross multiply
    359,871x = 774,228 × 774,228
  4. Step 4: Simplify right side
    359,871x = 599,428,995,984
  5. Step 5: Solve for x
    x = 599,428,995,984/359,871
  6. Step 6: Final answer
    x = 1,665,677.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.