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Finding the Third Proportional to 319,163 and 472,582

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Solution

The third proportional to 319,163 and 472,582 is: 699,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,163 : 472,582 = 472,582 : x
  2. Step 2: Convert to fraction form
    319,163/472,582 = 472,582/x
  3. Step 3: Cross multiply
    319,163x = 472,582 × 472,582
  4. Step 4: Simplify right side
    319,163x = 223,333,746,724
  5. Step 5: Solve for x
    x = 223,333,746,724/319,163
  6. Step 6: Final answer
    x = 699,748.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.