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Finding the Third Proportional to 340,017 and 744,510

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Solution

The third proportional to 340,017 and 744,510 is: 1,630,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,017 : 744,510 = 744,510 : x
  2. Step 2: Convert to fraction form
    340,017/744,510 = 744,510/x
  3. Step 3: Cross multiply
    340,017x = 744,510 × 744,510
  4. Step 4: Simplify right side
    340,017x = 554,295,140,100
  5. Step 5: Solve for x
    x = 554,295,140,100/340,017
  6. Step 6: Final answer
    x = 1,630,198.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.