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Finding the Third Proportional to 407,209.50 and 894,726

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Solution

The third proportional to 407,209.50 and 894,726 is: 1,965,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,209.50 : 894,726 = 894,726 : x
  2. Step 2: Convert to fraction form
    407,209.50/894,726 = 894,726/x
  3. Step 3: Cross multiply
    407,209.50x = 894,726 × 894,726
  4. Step 4: Simplify right side
    407,209.50x = 800,534,615,076
  5. Step 5: Solve for x
    x = 800,534,615,076/407,209.50
  6. Step 6: Final answer
    x = 1,965,903.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.