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Finding the Third Proportional to 364,142.25 and 742,736.25

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Solution

The third proportional to 364,142.25 and 742,736.25 is: 1,514,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,142.25 : 742,736.25 = 742,736.25 : x
  2. Step 2: Convert to fraction form
    364,142.25/742,736.25 = 742,736.25/x
  3. Step 3: Cross multiply
    364,142.25x = 742,736.25 × 742,736.25
  4. Step 4: Simplify right side
    364,142.25x = 551,657,137,064.06
  5. Step 5: Solve for x
    x = 551,657,137,064.06/364,142.25
  6. Step 6: Final answer
    x = 1,514,949.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.