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Finding the Third Proportional to 418,894.50 and 904,207.50

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Solution

The third proportional to 418,894.50 and 904,207.50 is: 1,951,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,894.50 : 904,207.50 = 904,207.50 : x
  2. Step 2: Convert to fraction form
    418,894.50/904,207.50 = 904,207.50/x
  3. Step 3: Cross multiply
    418,894.50x = 904,207.50 × 904,207.50
  4. Step 4: Simplify right side
    418,894.50x = 817,591,203,056.25
  5. Step 5: Solve for x
    x = 817,591,203,056.25/418,894.50
  6. Step 6: Final answer
    x = 1,951,783.09

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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.