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Finding the Third Proportional to 205,524 and 322,484.63

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Solution

The third proportional to 205,524 and 322,484.63 is: 506,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,524 : 322,484.63 = 322,484.63 : x
  2. Step 2: Convert to fraction form
    205,524/322,484.63 = 322,484.63/x
  3. Step 3: Cross multiply
    205,524x = 322,484.63 × 322,484.63
  4. Step 4: Simplify right side
    205,524x = 103,996,333,361.39
  5. Step 5: Solve for x
    x = 103,996,333,361.39/205,524
  6. Step 6: Final answer
    x = 506,005.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.