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Finding the Third Proportional to 363,616 and 744,832

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Solution

The third proportional to 363,616 and 744,832 is: 1,525,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,616 : 744,832 = 744,832 : x
  2. Step 2: Convert to fraction form
    363,616/744,832 = 744,832/x
  3. Step 3: Cross multiply
    363,616x = 744,832 × 744,832
  4. Step 4: Simplify right side
    363,616x = 554,774,708,224
  5. Step 5: Solve for x
    x = 554,774,708,224/363,616
  6. Step 6: Final answer
    x = 1,525,715.89

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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.