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Finding the Third Proportional to 405,572.50 and 938,873.75

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Solution

The third proportional to 405,572.50 and 938,873.75 is: 2,173,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,572.50 : 938,873.75 = 938,873.75 : x
  2. Step 2: Convert to fraction form
    405,572.50/938,873.75 = 938,873.75/x
  3. Step 3: Cross multiply
    405,572.50x = 938,873.75 × 938,873.75
  4. Step 4: Simplify right side
    405,572.50x = 881,483,918,439.06
  5. Step 5: Solve for x
    x = 881,483,918,439.06/405,572.50
  6. Step 6: Final answer
    x = 2,173,431.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.