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Finding the Third Proportional to 414,207 and 891,796.50

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Solution

The third proportional to 414,207 and 891,796.50 is: 1,920,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,207 : 891,796.50 = 891,796.50 : x
  2. Step 2: Convert to fraction form
    414,207/891,796.50 = 891,796.50/x
  3. Step 3: Cross multiply
    414,207x = 891,796.50 × 891,796.50
  4. Step 4: Simplify right side
    414,207x = 795,300,997,412.25
  5. Step 5: Solve for x
    x = 795,300,997,412.25/414,207
  6. Step 6: Final answer
    x = 1,920,056.87

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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.