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Finding the Third Proportional to 361,238 and 562,537

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Solution

The third proportional to 361,238 and 562,537 is: 876,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,238 : 562,537 = 562,537 : x
  2. Step 2: Convert to fraction form
    361,238/562,537 = 562,537/x
  3. Step 3: Cross multiply
    361,238x = 562,537 × 562,537
  4. Step 4: Simplify right side
    361,238x = 316,447,876,369
  5. Step 5: Solve for x
    x = 316,447,876,369/361,238
  6. Step 6: Final answer
    x = 876,009.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.