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Finding the Third Proportional to 326,716.50 and 513,430.50

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Solution

The third proportional to 326,716.50 and 513,430.50 is: 806,848.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,716.50 : 513,430.50 = 513,430.50 : x
  2. Step 2: Convert to fraction form
    326,716.50/513,430.50 = 513,430.50/x
  3. Step 3: Cross multiply
    326,716.50x = 513,430.50 × 513,430.50
  4. Step 4: Simplify right side
    326,716.50x = 263,610,878,330.25
  5. Step 5: Solve for x
    x = 263,610,878,330.25/326,716.50
  6. Step 6: Final answer
    x = 806,848.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.