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Finding the Third Proportional to 413,285.63 and 638,344.13

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Solution

The third proportional to 413,285.63 and 638,344.13 is: 985,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,285.63 : 638,344.13 = 638,344.13 : x
  2. Step 2: Convert to fraction form
    413,285.63/638,344.13 = 638,344.13/x
  3. Step 3: Cross multiply
    413,285.63x = 638,344.13 × 638,344.13
  4. Step 4: Simplify right side
    413,285.63x = 407,483,221,922.02
  5. Step 5: Solve for x
    x = 407,483,221,922.02/413,285.63
  6. Step 6: Final answer
    x = 985,960.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.