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Finding the Third Proportional to 202,629 and 469,089.50

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Solution

The third proportional to 202,629 and 469,089.50 is: 1,085,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,629 : 469,089.50 = 469,089.50 : x
  2. Step 2: Convert to fraction form
    202,629/469,089.50 = 469,089.50/x
  3. Step 3: Cross multiply
    202,629x = 469,089.50 × 469,089.50
  4. Step 4: Simplify right side
    202,629x = 220,044,959,010.25
  5. Step 5: Solve for x
    x = 220,044,959,010.25/202,629
  6. Step 6: Final answer
    x = 1,085,949.98

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.