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Finding the Third Proportional to 323,848.50 and 452,864.81

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Solution

The third proportional to 323,848.50 and 452,864.81 is: 633,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,848.50 : 452,864.81 = 452,864.81 : x
  2. Step 2: Convert to fraction form
    323,848.50/452,864.81 = 452,864.81/x
  3. Step 3: Cross multiply
    323,848.50x = 452,864.81 × 452,864.81
  4. Step 4: Simplify right side
    323,848.50x = 205,086,538,400.66
  5. Step 5: Solve for x
    x = 205,086,538,400.66/323,848.50
  6. Step 6: Final answer
    x = 633,279.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.