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Finding the Third Proportional to 428,206.50 and 932,674.50

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Solution

The third proportional to 428,206.50 and 932,674.50 is: 2,031,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,206.50 : 932,674.50 = 932,674.50 : x
  2. Step 2: Convert to fraction form
    428,206.50/932,674.50 = 932,674.50/x
  3. Step 3: Cross multiply
    428,206.50x = 932,674.50 × 932,674.50
  4. Step 4: Simplify right side
    428,206.50x = 869,881,722,950.25
  5. Step 5: Solve for x
    x = 869,881,722,950.25/428,206.50
  6. Step 6: Final answer
    x = 2,031,453.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.