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Finding the Third Proportional to 255,627 and 553,563.75

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Solution

The third proportional to 255,627 and 553,563.75 is: 1,198,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,627 : 553,563.75 = 553,563.75 : x
  2. Step 2: Convert to fraction form
    255,627/553,563.75 = 553,563.75/x
  3. Step 3: Cross multiply
    255,627x = 553,563.75 × 553,563.75
  4. Step 4: Simplify right side
    255,627x = 306,432,825,314.06
  5. Step 5: Solve for x
    x = 306,432,825,314.06/255,627
  6. Step 6: Final answer
    x = 1,198,749.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.