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Finding the Third Proportional to 255,433.50 and 547,566.75

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Solution

The third proportional to 255,433.50 and 547,566.75 is: 1,173,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,433.50 : 547,566.75 = 547,566.75 : x
  2. Step 2: Convert to fraction form
    255,433.50/547,566.75 = 547,566.75/x
  3. Step 3: Cross multiply
    255,433.50x = 547,566.75 × 547,566.75
  4. Step 4: Simplify right side
    255,433.50x = 299,829,345,705.56
  5. Step 5: Solve for x
    x = 299,829,345,705.56/255,433.50
  6. Step 6: Final answer
    x = 1,173,805.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.