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Finding the Third Proportional to 465,769 and 948,666.50

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Solution

The third proportional to 465,769 and 948,666.50 is: 1,932,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,769 : 948,666.50 = 948,666.50 : x
  2. Step 2: Convert to fraction form
    465,769/948,666.50 = 948,666.50/x
  3. Step 3: Cross multiply
    465,769x = 948,666.50 × 948,666.50
  4. Step 4: Simplify right side
    465,769x = 899,968,128,222.25
  5. Step 5: Solve for x
    x = 899,968,128,222.25/465,769
  6. Step 6: Final answer
    x = 1,932,219.89

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.