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Finding the Third Proportional to 322,548 and 512,333.63

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Solution

The third proportional to 322,548 and 512,333.63 is: 813,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,548 : 512,333.63 = 512,333.63 : x
  2. Step 2: Convert to fraction form
    322,548/512,333.63 = 512,333.63/x
  3. Step 3: Cross multiply
    322,548x = 512,333.63 × 512,333.63
  4. Step 4: Simplify right side
    322,548x = 262,485,743,305.64
  5. Step 5: Solve for x
    x = 262,485,743,305.64/322,548
  6. Step 6: Final answer
    x = 813,788.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.