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Finding the Third Proportional to 418,783.50 and 908,421.75

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Solution

The third proportional to 418,783.50 and 908,421.75 is: 1,970,541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,783.50 : 908,421.75 = 908,421.75 : x
  2. Step 2: Convert to fraction form
    418,783.50/908,421.75 = 908,421.75/x
  3. Step 3: Cross multiply
    418,783.50x = 908,421.75 × 908,421.75
  4. Step 4: Simplify right side
    418,783.50x = 825,230,075,873.06
  5. Step 5: Solve for x
    x = 825,230,075,873.06/418,783.50
  6. Step 6: Final answer
    x = 1,970,541.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.