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Finding the Third Proportional to 448,816.50 and 968,967

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Solution

The third proportional to 448,816.50 and 968,967 is: 2,091,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,816.50 : 968,967 = 968,967 : x
  2. Step 2: Convert to fraction form
    448,816.50/968,967 = 968,967/x
  3. Step 3: Cross multiply
    448,816.50x = 968,967 × 968,967
  4. Step 4: Simplify right side
    448,816.50x = 938,897,047,089
  5. Step 5: Solve for x
    x = 938,897,047,089/448,816.50
  6. Step 6: Final answer
    x = 2,091,939.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.