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Finding the Third Proportional to 358,772 and 562,872

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Solution

The third proportional to 358,772 and 562,872 is: 883,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,772 : 562,872 = 562,872 : x
  2. Step 2: Convert to fraction form
    358,772/562,872 = 562,872/x
  3. Step 3: Cross multiply
    358,772x = 562,872 × 562,872
  4. Step 4: Simplify right side
    358,772x = 316,824,888,384
  5. Step 5: Solve for x
    x = 316,824,888,384/358,772
  6. Step 6: Final answer
    x = 883,081.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.