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Finding the Third Proportional to 348,424.88 and 738,716.63

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Solution

The third proportional to 348,424.88 and 738,716.63 is: 1,566,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,424.88 : 738,716.63 = 738,716.63 : x
  2. Step 2: Convert to fraction form
    348,424.88/738,716.63 = 738,716.63/x
  3. Step 3: Cross multiply
    348,424.88x = 738,716.63 × 738,716.63
  4. Step 4: Simplify right side
    348,424.88x = 545,702,252,051.39
  5. Step 5: Solve for x
    x = 545,702,252,051.39/348,424.88
  6. Step 6: Final answer
    x = 1,566,197.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.