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Finding the Third Proportional to 431,476.50 and 938,706

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Solution

The third proportional to 431,476.50 and 938,706 is: 2,042,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,476.50 : 938,706 = 938,706 : x
  2. Step 2: Convert to fraction form
    431,476.50/938,706 = 938,706/x
  3. Step 3: Cross multiply
    431,476.50x = 938,706 × 938,706
  4. Step 4: Simplify right side
    431,476.50x = 881,168,954,436
  5. Step 5: Solve for x
    x = 881,168,954,436/431,476.50
  6. Step 6: Final answer
    x = 2,042,217.72

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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.