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Finding the Third Proportional to 234,639 and 495,099

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Solution

The third proportional to 234,639 and 495,099 is: 1,044,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,639 : 495,099 = 495,099 : x
  2. Step 2: Convert to fraction form
    234,639/495,099 = 495,099/x
  3. Step 3: Cross multiply
    234,639x = 495,099 × 495,099
  4. Step 4: Simplify right side
    234,639x = 245,123,019,801
  5. Step 5: Solve for x
    x = 245,123,019,801/234,639
  6. Step 6: Final answer
    x = 1,044,681.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.