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Finding the Third Proportional to 448,632 and 967,700.25

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Solution

The third proportional to 448,632 and 967,700.25 is: 2,087,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,632 : 967,700.25 = 967,700.25 : x
  2. Step 2: Convert to fraction form
    448,632/967,700.25 = 967,700.25/x
  3. Step 3: Cross multiply
    448,632x = 967,700.25 × 967,700.25
  4. Step 4: Simplify right side
    448,632x = 936,443,773,850.06
  5. Step 5: Solve for x
    x = 936,443,773,850.06/448,632
  6. Step 6: Final answer
    x = 2,087,331.65

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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.