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Finding the Third Proportional to 372,979 and 562,583

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Solution

The third proportional to 372,979 and 562,583 is: 848,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,979 : 562,583 = 562,583 : x
  2. Step 2: Convert to fraction form
    372,979/562,583 = 562,583/x
  3. Step 3: Cross multiply
    372,979x = 562,583 × 562,583
  4. Step 4: Simplify right side
    372,979x = 316,499,631,889
  5. Step 5: Solve for x
    x = 316,499,631,889/372,979
  6. Step 6: Final answer
    x = 848,572.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.