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Finding the Third Proportional to 292,875.75 and 593,898.75

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Solution

The third proportional to 292,875.75 and 593,898.75 is: 1,204,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,875.75 : 593,898.75 = 593,898.75 : x
  2. Step 2: Convert to fraction form
    292,875.75/593,898.75 = 593,898.75/x
  3. Step 3: Cross multiply
    292,875.75x = 593,898.75 × 593,898.75
  4. Step 4: Simplify right side
    292,875.75x = 352,715,725,251.56
  5. Step 5: Solve for x
    x = 352,715,725,251.56/292,875.75
  6. Step 6: Final answer
    x = 1,204,318.64

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.