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Finding the Third Proportional to 245,856.94 and 534,975.47

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Solution

The third proportional to 245,856.94 and 534,975.47 is: 1,164,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,856.94 : 534,975.47 = 534,975.47 : x
  2. Step 2: Convert to fraction form
    245,856.94/534,975.47 = 534,975.47/x
  3. Step 3: Cross multiply
    245,856.94x = 534,975.47 × 534,975.47
  4. Step 4: Simplify right side
    245,856.94x = 286,198,752,164.28
  5. Step 5: Solve for x
    x = 286,198,752,164.28/245,856.94
  6. Step 6: Final answer
    x = 1,164,086.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.