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Finding the Third Proportional to 219,348 and 455,928.75

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Solution

The third proportional to 219,348 and 455,928.75 is: 947,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,348 : 455,928.75 = 455,928.75 : x
  2. Step 2: Convert to fraction form
    219,348/455,928.75 = 455,928.75/x
  3. Step 3: Cross multiply
    219,348x = 455,928.75 × 455,928.75
  4. Step 4: Simplify right side
    219,348x = 207,871,025,076.56
  5. Step 5: Solve for x
    x = 207,871,025,076.56/219,348
  6. Step 6: Final answer
    x = 947,676.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.