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Finding the Third Proportional to 327,312.25 and 507,988.75

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Solution

The third proportional to 327,312.25 and 507,988.75 is: 788,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,312.25 : 507,988.75 = 507,988.75 : x
  2. Step 2: Convert to fraction form
    327,312.25/507,988.75 = 507,988.75/x
  3. Step 3: Cross multiply
    327,312.25x = 507,988.75 × 507,988.75
  4. Step 4: Simplify right side
    327,312.25x = 258,052,570,126.56
  5. Step 5: Solve for x
    x = 258,052,570,126.56/327,312.25
  6. Step 6: Final answer
    x = 788,398.75

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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.