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Finding the Third Proportional to 369,709.50 and 756,933

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Solution

The third proportional to 369,709.50 and 756,933 is: 1,549,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,709.50 : 756,933 = 756,933 : x
  2. Step 2: Convert to fraction form
    369,709.50/756,933 = 756,933/x
  3. Step 3: Cross multiply
    369,709.50x = 756,933 × 756,933
  4. Step 4: Simplify right side
    369,709.50x = 572,947,566,489
  5. Step 5: Solve for x
    x = 572,947,566,489/369,709.50
  6. Step 6: Final answer
    x = 1,549,723.68

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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.