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Finding the Third Proportional to 641,169 and 996,727.50

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Solution

The third proportional to 641,169 and 996,727.50 is: 1,549,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,169 : 996,727.50 = 996,727.50 : x
  2. Step 2: Convert to fraction form
    641,169/996,727.50 = 996,727.50/x
  3. Step 3: Cross multiply
    641,169x = 996,727.50 × 996,727.50
  4. Step 4: Simplify right side
    641,169x = 993,465,709,256.25
  5. Step 5: Solve for x
    x = 993,465,709,256.25/641,169
  6. Step 6: Final answer
    x = 1,549,459.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.