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Finding the Third Proportional to 337,918.88 and 472,433.06

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Solution

The third proportional to 337,918.88 and 472,433.06 is: 660,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,918.88 : 472,433.06 = 472,433.06 : x
  2. Step 2: Convert to fraction form
    337,918.88/472,433.06 = 472,433.06/x
  3. Step 3: Cross multiply
    337,918.88x = 472,433.06 × 472,433.06
  4. Step 4: Simplify right side
    337,918.88x = 223,192,998,543.13
  5. Step 5: Solve for x
    x = 223,192,998,543.13/337,918.88
  6. Step 6: Final answer
    x = 660,492.84

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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.