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Finding the Third Proportional to 364,124 and 745,744

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Solution

The third proportional to 364,124 and 745,744 is: 1,527,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,124 : 745,744 = 745,744 : x
  2. Step 2: Convert to fraction form
    364,124/745,744 = 745,744/x
  3. Step 3: Cross multiply
    364,124x = 745,744 × 745,744
  4. Step 4: Simplify right side
    364,124x = 556,134,113,536
  5. Step 5: Solve for x
    x = 556,134,113,536/364,124
  6. Step 6: Final answer
    x = 1,527,320.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.