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Finding the Third Proportional to 533,799 and 1,174,549.50

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Solution

The third proportional to 533,799 and 1,174,549.50 is: 2,584,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,799 : 1,174,549.50 = 1,174,549.50 : x
  2. Step 2: Convert to fraction form
    533,799/1,174,549.50 = 1,174,549.50/x
  3. Step 3: Cross multiply
    533,799x = 1,174,549.50 × 1,174,549.50
  4. Step 4: Simplify right side
    533,799x = 1,379,566,527,950.25
  5. Step 5: Solve for x
    x = 1,379,566,527,950.25/533,799
  6. Step 6: Final answer
    x = 2,584,430.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.