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Finding the Third Proportional to 337,582.69 and 477,663.75

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Solution

The third proportional to 337,582.69 and 477,663.75 is: 675,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,582.69 : 477,663.75 = 477,663.75 : x
  2. Step 2: Convert to fraction form
    337,582.69/477,663.75 = 477,663.75/x
  3. Step 3: Cross multiply
    337,582.69x = 477,663.75 × 477,663.75
  4. Step 4: Simplify right side
    337,582.69x = 228,162,658,064.06
  5. Step 5: Solve for x
    x = 228,162,658,064.06/337,582.69
  6. Step 6: Final answer
    x = 675,871.92

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.