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Finding the Third Proportional to 332,631 and 715,072.50

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Solution

The third proportional to 332,631 and 715,072.50 is: 1,537,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,631 : 715,072.50 = 715,072.50 : x
  2. Step 2: Convert to fraction form
    332,631/715,072.50 = 715,072.50/x
  3. Step 3: Cross multiply
    332,631x = 715,072.50 × 715,072.50
  4. Step 4: Simplify right side
    332,631x = 511,328,680,256.25
  5. Step 5: Solve for x
    x = 511,328,680,256.25/332,631
  6. Step 6: Final answer
    x = 1,537,224.97

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