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Finding the Third Proportional to 340,162 and 740,264

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Solution

The third proportional to 340,162 and 740,264 is: 1,610,970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,162 : 740,264 = 740,264 : x
  2. Step 2: Convert to fraction form
    340,162/740,264 = 740,264/x
  3. Step 3: Cross multiply
    340,162x = 740,264 × 740,264
  4. Step 4: Simplify right side
    340,162x = 547,990,789,696
  5. Step 5: Solve for x
    x = 547,990,789,696/340,162
  6. Step 6: Final answer
    x = 1,610,970.04

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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.