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Finding the Third Proportional to 448,807.50 and 968,949

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Solution

The third proportional to 448,807.50 and 968,949 is: 2,091,903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,807.50 : 968,949 = 968,949 : x
  2. Step 2: Convert to fraction form
    448,807.50/968,949 = 968,949/x
  3. Step 3: Cross multiply
    448,807.50x = 968,949 × 968,949
  4. Step 4: Simplify right side
    448,807.50x = 938,862,164,601
  5. Step 5: Solve for x
    x = 938,862,164,601/448,807.50
  6. Step 6: Final answer
    x = 2,091,903.91

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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.