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Finding the Third Proportional to 378,783.50 and 817,654

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Solution

The third proportional to 378,783.50 and 817,654 is: 1,765,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,783.50 : 817,654 = 817,654 : x
  2. Step 2: Convert to fraction form
    378,783.50/817,654 = 817,654/x
  3. Step 3: Cross multiply
    378,783.50x = 817,654 × 817,654
  4. Step 4: Simplify right side
    378,783.50x = 668,558,063,716
  5. Step 5: Solve for x
    x = 668,558,063,716/378,783.50
  6. Step 6: Final answer
    x = 1,765,013.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.