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Finding the Third Proportional to 211,253.06 and 469,732.50

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Solution

The third proportional to 211,253.06 and 469,732.50 is: 1,044,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,253.06 : 469,732.50 = 469,732.50 : x
  2. Step 2: Convert to fraction form
    211,253.06/469,732.50 = 469,732.50/x
  3. Step 3: Cross multiply
    211,253.06x = 469,732.50 × 469,732.50
  4. Step 4: Simplify right side
    211,253.06x = 220,648,621,556.25
  5. Step 5: Solve for x
    x = 220,648,621,556.25/211,253.06
  6. Step 6: Final answer
    x = 1,044,475.37

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.