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Finding the Third Proportional to 275,032.34 and 437,630.66

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Solution

The third proportional to 275,032.34 and 437,630.66 is: 696,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,032.34 : 437,630.66 = 437,630.66 : x
  2. Step 2: Convert to fraction form
    275,032.34/437,630.66 = 437,630.66/x
  3. Step 3: Cross multiply
    275,032.34x = 437,630.66 × 437,630.66
  4. Step 4: Simplify right side
    275,032.34x = 191,520,594,708.80
  5. Step 5: Solve for x
    x = 191,520,594,708.80/275,032.34
  6. Step 6: Final answer
    x = 696,356.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.