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Finding the Third Proportional to 435,982.50 and 938,749.50

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Solution

The third proportional to 435,982.50 and 938,749.50 is: 2,021,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,982.50 : 938,749.50 = 938,749.50 : x
  2. Step 2: Convert to fraction form
    435,982.50/938,749.50 = 938,749.50/x
  3. Step 3: Cross multiply
    435,982.50x = 938,749.50 × 938,749.50
  4. Step 4: Simplify right side
    435,982.50x = 881,250,623,750.25
  5. Step 5: Solve for x
    x = 881,250,623,750.25/435,982.50
  6. Step 6: Final answer
    x = 2,021,298.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.