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Finding the Third Proportional to 367,663.13 and 506,293.13

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Solution

The third proportional to 367,663.13 and 506,293.13 is: 697,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,663.13 : 506,293.13 = 506,293.13 : x
  2. Step 2: Convert to fraction form
    367,663.13/506,293.13 = 506,293.13/x
  3. Step 3: Cross multiply
    367,663.13x = 506,293.13 × 506,293.13
  4. Step 4: Simplify right side
    367,663.13x = 256,332,728,422.27
  5. Step 5: Solve for x
    x = 256,332,728,422.27/367,663.13
  6. Step 6: Final answer
    x = 697,194.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.