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Finding the Third Proportional to 247,666.50 and 542,799

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Solution

The third proportional to 247,666.50 and 542,799 is: 1,189,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,666.50 : 542,799 = 542,799 : x
  2. Step 2: Convert to fraction form
    247,666.50/542,799 = 542,799/x
  3. Step 3: Cross multiply
    247,666.50x = 542,799 × 542,799
  4. Step 4: Simplify right side
    247,666.50x = 294,630,754,401
  5. Step 5: Solve for x
    x = 294,630,754,401/247,666.50
  6. Step 6: Final answer
    x = 1,189,627.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.