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Finding the Third Proportional to 414,727.50 and 909,807

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Solution

The third proportional to 414,727.50 and 909,807 is: 1,995,885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,727.50 : 909,807 = 909,807 : x
  2. Step 2: Convert to fraction form
    414,727.50/909,807 = 909,807/x
  3. Step 3: Cross multiply
    414,727.50x = 909,807 × 909,807
  4. Step 4: Simplify right side
    414,727.50x = 827,748,777,249
  5. Step 5: Solve for x
    x = 827,748,777,249/414,727.50
  6. Step 6: Final answer
    x = 1,995,885.92

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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.