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Finding the Third Proportional to 444,345.75 and 646,349.63

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Solution

The third proportional to 444,345.75 and 646,349.63 is: 940,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,345.75 : 646,349.63 = 646,349.63 : x
  2. Step 2: Convert to fraction form
    444,345.75/646,349.63 = 646,349.63/x
  3. Step 3: Cross multiply
    444,345.75x = 646,349.63 × 646,349.63
  4. Step 4: Simplify right side
    444,345.75x = 417,767,837,737.64
  5. Step 5: Solve for x
    x = 417,767,837,737.64/444,345.75
  6. Step 6: Final answer
    x = 940,186.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.