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Finding the Third Proportional to 326,971.69 and 477,537.19

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Solution

The third proportional to 326,971.69 and 477,537.19 is: 697,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,971.69 : 477,537.19 = 477,537.19 : x
  2. Step 2: Convert to fraction form
    326,971.69/477,537.19 = 477,537.19/x
  3. Step 3: Cross multiply
    326,971.69x = 477,537.19 × 477,537.19
  4. Step 4: Simplify right side
    326,971.69x = 228,041,765,445.41
  5. Step 5: Solve for x
    x = 228,041,765,445.41/326,971.69
  6. Step 6: Final answer
    x = 697,435.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.