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Finding the Third Proportional to 348,124 and 524,958

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Solution

The third proportional to 348,124 and 524,958 is: 791,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,124 : 524,958 = 524,958 : x
  2. Step 2: Convert to fraction form
    348,124/524,958 = 524,958/x
  3. Step 3: Cross multiply
    348,124x = 524,958 × 524,958
  4. Step 4: Simplify right side
    348,124x = 275,580,901,764
  5. Step 5: Solve for x
    x = 275,580,901,764/348,124
  6. Step 6: Final answer
    x = 791,617.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.