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Finding the Third Proportional to 353,904 and 562,922

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Solution

The third proportional to 353,904 and 562,922 is: 895,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,904 : 562,922 = 562,922 : x
  2. Step 2: Convert to fraction form
    353,904/562,922 = 562,922/x
  3. Step 3: Cross multiply
    353,904x = 562,922 × 562,922
  4. Step 4: Simplify right side
    353,904x = 316,881,178,084
  5. Step 5: Solve for x
    x = 316,881,178,084/353,904
  6. Step 6: Final answer
    x = 895,387.39

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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.