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Finding the Third Proportional to 407,722.50 and 867,933

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Solution

The third proportional to 407,722.50 and 867,933 is: 1,847,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,722.50 : 867,933 = 867,933 : x
  2. Step 2: Convert to fraction form
    407,722.50/867,933 = 867,933/x
  3. Step 3: Cross multiply
    407,722.50x = 867,933 × 867,933
  4. Step 4: Simplify right side
    407,722.50x = 753,307,692,489
  5. Step 5: Solve for x
    x = 753,307,692,489/407,722.50
  6. Step 6: Final answer
    x = 1,847,599.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.