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Finding the Third Proportional to 448,675.13 and 665,967.75

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Solution

The third proportional to 448,675.13 and 665,967.75 is: 988,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,675.13 : 665,967.75 = 665,967.75 : x
  2. Step 2: Convert to fraction form
    448,675.13/665,967.75 = 665,967.75/x
  3. Step 3: Cross multiply
    448,675.13x = 665,967.75 × 665,967.75
  4. Step 4: Simplify right side
    448,675.13x = 443,513,044,040.06
  5. Step 5: Solve for x
    x = 443,513,044,040.06/448,675.13
  6. Step 6: Final answer
    x = 988,494.84

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.