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Finding the Third Proportional to 353,884 and 562,884

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Solution

The third proportional to 353,884 and 562,884 is: 895,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,884 : 562,884 = 562,884 : x
  2. Step 2: Convert to fraction form
    353,884/562,884 = 562,884/x
  3. Step 3: Cross multiply
    353,884x = 562,884 × 562,884
  4. Step 4: Simplify right side
    353,884x = 316,838,397,456
  5. Step 5: Solve for x
    x = 316,838,397,456/353,884
  6. Step 6: Final answer
    x = 895,317.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.