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Finding the Third Proportional to 326,274.75 and 504,208.13

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Solution

The third proportional to 326,274.75 and 504,208.13 is: 779,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,274.75 : 504,208.13 = 504,208.13 : x
  2. Step 2: Convert to fraction form
    326,274.75/504,208.13 = 504,208.13/x
  3. Step 3: Cross multiply
    326,274.75x = 504,208.13 × 504,208.13
  4. Step 4: Simplify right side
    326,274.75x = 254,225,833,316.02
  5. Step 5: Solve for x
    x = 254,225,833,316.02/326,274.75
  6. Step 6: Final answer
    x = 779,177.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.