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Finding the Third Proportional to 417,808.13 and 885,643.88

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Solution

The third proportional to 417,808.13 and 885,643.88 is: 1,877,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,808.13 : 885,643.88 = 885,643.88 : x
  2. Step 2: Convert to fraction form
    417,808.13/885,643.88 = 885,643.88/x
  3. Step 3: Cross multiply
    417,808.13x = 885,643.88 × 885,643.88
  4. Step 4: Simplify right side
    417,808.13x = 784,365,073,325.02
  5. Step 5: Solve for x
    x = 784,365,073,325.02/417,808.13
  6. Step 6: Final answer
    x = 1,877,333.22

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.