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Finding the Third Proportional to 371,055 and 563,662.50

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Solution

The third proportional to 371,055 and 563,662.50 is: 856,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,055 : 563,662.50 = 563,662.50 : x
  2. Step 2: Convert to fraction form
    371,055/563,662.50 = 563,662.50/x
  3. Step 3: Cross multiply
    371,055x = 563,662.50 × 563,662.50
  4. Step 4: Simplify right side
    371,055x = 317,715,413,906.25
  5. Step 5: Solve for x
    x = 317,715,413,906.25/371,055
  6. Step 6: Final answer
    x = 856,248.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.