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Finding the Third Proportional to 228,339 and 495,922.50

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Solution

The third proportional to 228,339 and 495,922.50 is: 1,077,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,339 : 495,922.50 = 495,922.50 : x
  2. Step 2: Convert to fraction form
    228,339/495,922.50 = 495,922.50/x
  3. Step 3: Cross multiply
    228,339x = 495,922.50 × 495,922.50
  4. Step 4: Simplify right side
    228,339x = 245,939,126,006.25
  5. Step 5: Solve for x
    x = 245,939,126,006.25/228,339
  6. Step 6: Final answer
    x = 1,077,078.93

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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.