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Finding the Third Proportional to 333,543.56 and 731,364.56

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Solution

The third proportional to 333,543.56 and 731,364.56 is: 1,603,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,543.56 : 731,364.56 = 731,364.56 : x
  2. Step 2: Convert to fraction form
    333,543.56/731,364.56 = 731,364.56/x
  3. Step 3: Cross multiply
    333,543.56x = 731,364.56 × 731,364.56
  4. Step 4: Simplify right side
    333,543.56x = 534,894,123,280.82
  5. Step 5: Solve for x
    x = 534,894,123,280.82/333,543.56
  6. Step 6: Final answer
    x = 1,603,670.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.