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Finding the Third Proportional to 290,910 and 617,034

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Solution

The third proportional to 290,910 and 617,034 is: 1,308,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,910 : 617,034 = 617,034 : x
  2. Step 2: Convert to fraction form
    290,910/617,034 = 617,034/x
  3. Step 3: Cross multiply
    290,910x = 617,034 × 617,034
  4. Step 4: Simplify right side
    290,910x = 380,730,957,156
  5. Step 5: Solve for x
    x = 380,730,957,156/290,910
  6. Step 6: Final answer
    x = 1,308,758.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.