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Finding the Third Proportional to 337,919.63 and 472,434.19

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Solution

The third proportional to 337,919.63 and 472,434.19 is: 660,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,919.63 : 472,434.19 = 472,434.19 : x
  2. Step 2: Convert to fraction form
    337,919.63/472,434.19 = 472,434.19/x
  3. Step 3: Cross multiply
    337,919.63x = 472,434.19 × 472,434.19
  4. Step 4: Simplify right side
    337,919.63x = 223,194,061,518.79
  5. Step 5: Solve for x
    x = 223,194,061,518.79/337,919.63
  6. Step 6: Final answer
    x = 660,494.52

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.