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Finding the Third Proportional to 641,133 and 996,673.50

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Solution

The third proportional to 641,133 and 996,673.50 is: 1,549,379.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,133 : 996,673.50 = 996,673.50 : x
  2. Step 2: Convert to fraction form
    641,133/996,673.50 = 996,673.50/x
  3. Step 3: Cross multiply
    641,133x = 996,673.50 × 996,673.50
  4. Step 4: Simplify right side
    641,133x = 993,358,065,602.25
  5. Step 5: Solve for x
    x = 993,358,065,602.25/641,133
  6. Step 6: Final answer
    x = 1,549,379.09

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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.