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Finding the Third Proportional to 509,334.75 and 689,266.13

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Solution

The third proportional to 509,334.75 and 689,266.13 is: 932,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,334.75 : 689,266.13 = 689,266.13 : x
  2. Step 2: Convert to fraction form
    509,334.75/689,266.13 = 689,266.13/x
  3. Step 3: Cross multiply
    509,334.75x = 689,266.13 × 689,266.13
  4. Step 4: Simplify right side
    509,334.75x = 475,087,791,072.52
  5. Step 5: Solve for x
    x = 475,087,791,072.52/509,334.75
  6. Step 6: Final answer
    x = 932,761.39

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.