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Finding the Third Proportional to 338,700 and 724,092

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Solution

The third proportional to 338,700 and 724,092 is: 1,548,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,700 : 724,092 = 724,092 : x
  2. Step 2: Convert to fraction form
    338,700/724,092 = 724,092/x
  3. Step 3: Cross multiply
    338,700x = 724,092 × 724,092
  4. Step 4: Simplify right side
    338,700x = 524,309,224,464
  5. Step 5: Solve for x
    x = 524,309,224,464/338,700
  6. Step 6: Final answer
    x = 1,548,004.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.