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Finding the Third Proportional to 445,439.25 and 971,280

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Solution

The third proportional to 445,439.25 and 971,280 is: 2,117,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,439.25 : 971,280 = 971,280 : x
  2. Step 2: Convert to fraction form
    445,439.25/971,280 = 971,280/x
  3. Step 3: Cross multiply
    445,439.25x = 971,280 × 971,280
  4. Step 4: Simplify right side
    445,439.25x = 943,384,838,400
  5. Step 5: Solve for x
    x = 943,384,838,400/445,439.25
  6. Step 6: Final answer
    x = 2,117,875.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.