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Finding the Third Proportional to 366,540 and 536,706

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Solution

The third proportional to 366,540 and 536,706 is: 785,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,540 : 536,706 = 536,706 : x
  2. Step 2: Convert to fraction form
    366,540/536,706 = 536,706/x
  3. Step 3: Cross multiply
    366,540x = 536,706 × 536,706
  4. Step 4: Simplify right side
    366,540x = 288,053,330,436
  5. Step 5: Solve for x
    x = 288,053,330,436/366,540
  6. Step 6: Final answer
    x = 785,871.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.