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Finding the Third Proportional to 417,487.50 and 894,006

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Solution

The third proportional to 417,487.50 and 894,006 is: 1,914,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,487.50 : 894,006 = 894,006 : x
  2. Step 2: Convert to fraction form
    417,487.50/894,006 = 894,006/x
  3. Step 3: Cross multiply
    417,487.50x = 894,006 × 894,006
  4. Step 4: Simplify right side
    417,487.50x = 799,246,728,036
  5. Step 5: Solve for x
    x = 799,246,728,036/417,487.50
  6. Step 6: Final answer
    x = 1,914,420.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.