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Finding the Third Proportional to 341,816 and 736,200

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Solution

The third proportional to 341,816 and 736,200 is: 1,585,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,816 : 736,200 = 736,200 : x
  2. Step 2: Convert to fraction form
    341,816/736,200 = 736,200/x
  3. Step 3: Cross multiply
    341,816x = 736,200 × 736,200
  4. Step 4: Simplify right side
    341,816x = 541,990,440,000
  5. Step 5: Solve for x
    x = 541,990,440,000/341,816
  6. Step 6: Final answer
    x = 1,585,620.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.