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Finding the Third Proportional to 415,570.50 and 894,705.75

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Solution

The third proportional to 415,570.50 and 894,705.75 is: 1,926,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,570.50 : 894,705.75 = 894,705.75 : x
  2. Step 2: Convert to fraction form
    415,570.50/894,705.75 = 894,705.75/x
  3. Step 3: Cross multiply
    415,570.50x = 894,705.75 × 894,705.75
  4. Step 4: Simplify right side
    415,570.50x = 800,498,379,083.06
  5. Step 5: Solve for x
    x = 800,498,379,083.06/415,570.50
  6. Step 6: Final answer
    x = 1,926,263.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.