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Finding the Third Proportional to 360,731 and 562,931

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Solution

The third proportional to 360,731 and 562,931 is: 878,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,731 : 562,931 = 562,931 : x
  2. Step 2: Convert to fraction form
    360,731/562,931 = 562,931/x
  3. Step 3: Cross multiply
    360,731x = 562,931 × 562,931
  4. Step 4: Simplify right side
    360,731x = 316,891,310,761
  5. Step 5: Solve for x
    x = 316,891,310,761/360,731
  6. Step 6: Final answer
    x = 878,469.86

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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.