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Finding the Third Proportional to 448,931.25 and 969,079.50

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Solution

The third proportional to 448,931.25 and 969,079.50 is: 2,091,890.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,931.25 : 969,079.50 = 969,079.50 : x
  2. Step 2: Convert to fraction form
    448,931.25/969,079.50 = 969,079.50/x
  3. Step 3: Cross multiply
    448,931.25x = 969,079.50 × 969,079.50
  4. Step 4: Simplify right side
    448,931.25x = 939,115,077,320.25
  5. Step 5: Solve for x
    x = 939,115,077,320.25/448,931.25
  6. Step 6: Final answer
    x = 2,091,890.63

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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.