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Finding the Third Proportional to 340,863 and 734,051

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Solution

The third proportional to 340,863 and 734,051 is: 1,580,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,863 : 734,051 = 734,051 : x
  2. Step 2: Convert to fraction form
    340,863/734,051 = 734,051/x
  3. Step 3: Cross multiply
    340,863x = 734,051 × 734,051
  4. Step 4: Simplify right side
    340,863x = 538,830,870,601
  5. Step 5: Solve for x
    x = 538,830,870,601/340,863
  6. Step 6: Final answer
    x = 1,580,784.28

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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.