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Finding the Third Proportional to 363,088.13 and 767,732.63

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Solution

The third proportional to 363,088.13 and 767,732.63 is: 1,623,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,088.13 : 767,732.63 = 767,732.63 : x
  2. Step 2: Convert to fraction form
    363,088.13/767,732.63 = 767,732.63/x
  3. Step 3: Cross multiply
    363,088.13x = 767,732.63 × 767,732.63
  4. Step 4: Simplify right side
    363,088.13x = 589,413,383,489.39
  5. Step 5: Solve for x
    x = 589,413,383,489.39/363,088.13
  6. Step 6: Final answer
    x = 1,623,334.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.