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Finding the Third Proportional to 207,688.50 and 446,967

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Solution

The third proportional to 207,688.50 and 446,967 is: 961,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,688.50 : 446,967 = 446,967 : x
  2. Step 2: Convert to fraction form
    207,688.50/446,967 = 446,967/x
  3. Step 3: Cross multiply
    207,688.50x = 446,967 × 446,967
  4. Step 4: Simplify right side
    207,688.50x = 199,779,499,089
  5. Step 5: Solve for x
    x = 199,779,499,089/207,688.50
  6. Step 6: Final answer
    x = 961,918.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.