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Finding the Third Proportional to 336,702 and 748,141.50

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Solution

The third proportional to 336,702 and 748,141.50 is: 1,662,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,702 : 748,141.50 = 748,141.50 : x
  2. Step 2: Convert to fraction form
    336,702/748,141.50 = 748,141.50/x
  3. Step 3: Cross multiply
    336,702x = 748,141.50 × 748,141.50
  4. Step 4: Simplify right side
    336,702x = 559,715,704,022.25
  5. Step 5: Solve for x
    x = 559,715,704,022.25/336,702
  6. Step 6: Final answer
    x = 1,662,347.43

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.