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Finding the Third Proportional to 414,286 and 907,647.50

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Solution

The third proportional to 414,286 and 907,647.50 is: 1,988,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,286 : 907,647.50 = 907,647.50 : x
  2. Step 2: Convert to fraction form
    414,286/907,647.50 = 907,647.50/x
  3. Step 3: Cross multiply
    414,286x = 907,647.50 × 907,647.50
  4. Step 4: Simplify right side
    414,286x = 823,823,984,256.25
  5. Step 5: Solve for x
    x = 823,823,984,256.25/414,286
  6. Step 6: Final answer
    x = 1,988,539.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.