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Finding the Third Proportional to 342,051 and 733,918.13

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Solution

The third proportional to 342,051 and 733,918.13 is: 1,574,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,051 : 733,918.13 = 733,918.13 : x
  2. Step 2: Convert to fraction form
    342,051/733,918.13 = 733,918.13/x
  3. Step 3: Cross multiply
    342,051x = 733,918.13 × 733,918.13
  4. Step 4: Simplify right side
    342,051x = 538,635,814,203.52
  5. Step 5: Solve for x
    x = 538,635,814,203.52/342,051
  6. Step 6: Final answer
    x = 1,574,723.69

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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.