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Finding the Third Proportional to 332,634 and 715,078.50

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Solution

The third proportional to 332,634 and 715,078.50 is: 1,537,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,634 : 715,078.50 = 715,078.50 : x
  2. Step 2: Convert to fraction form
    332,634/715,078.50 = 715,078.50/x
  3. Step 3: Cross multiply
    332,634x = 715,078.50 × 715,078.50
  4. Step 4: Simplify right side
    332,634x = 511,337,261,162.25
  5. Step 5: Solve for x
    x = 511,337,261,162.25/332,634
  6. Step 6: Final answer
    x = 1,537,236.91

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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.