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Finding the Third Proportional to 428,971.50 and 932,647.50

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Solution

The third proportional to 428,971.50 and 932,647.50 is: 2,027,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,971.50 : 932,647.50 = 932,647.50 : x
  2. Step 2: Convert to fraction form
    428,971.50/932,647.50 = 932,647.50/x
  3. Step 3: Cross multiply
    428,971.50x = 932,647.50 × 932,647.50
  4. Step 4: Simplify right side
    428,971.50x = 869,831,359,256.25
  5. Step 5: Solve for x
    x = 869,831,359,256.25/428,971.50
  6. Step 6: Final answer
    x = 2,027,713.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.