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Finding the Third Proportional to 350,841.38 and 738,356.63

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Solution

The third proportional to 350,841.38 and 738,356.63 is: 1,553,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,841.38 : 738,356.63 = 738,356.63 : x
  2. Step 2: Convert to fraction form
    350,841.38/738,356.63 = 738,356.63/x
  3. Step 3: Cross multiply
    350,841.38x = 738,356.63 × 738,356.63
  4. Step 4: Simplify right side
    350,841.38x = 545,170,505,681.39
  5. Step 5: Solve for x
    x = 545,170,505,681.39/350,841.38
  6. Step 6: Final answer
    x = 1,553,894.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.