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Finding the Third Proportional to 264,024.50 and 560,772.50

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Solution

The third proportional to 264,024.50 and 560,772.50 is: 1,191,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,024.50 : 560,772.50 = 560,772.50 : x
  2. Step 2: Convert to fraction form
    264,024.50/560,772.50 = 560,772.50/x
  3. Step 3: Cross multiply
    264,024.50x = 560,772.50 × 560,772.50
  4. Step 4: Simplify right side
    264,024.50x = 314,465,796,756.25
  5. Step 5: Solve for x
    x = 314,465,796,756.25/264,024.50
  6. Step 6: Final answer
    x = 1,191,047.79

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.