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Finding the Third Proportional to 339,970 and 500,060

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Solution

The third proportional to 339,970 and 500,060 is: 735,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,970 : 500,060 = 500,060 : x
  2. Step 2: Convert to fraction form
    339,970/500,060 = 500,060/x
  3. Step 3: Cross multiply
    339,970x = 500,060 × 500,060
  4. Step 4: Simplify right side
    339,970x = 250,060,003,600
  5. Step 5: Solve for x
    x = 250,060,003,600/339,970
  6. Step 6: Final answer
    x = 735,535.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.