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Finding the Third Proportional to 379,840 and 563,904

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Solution

The third proportional to 379,840 and 563,904 is: 837,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,840 : 563,904 = 563,904 : x
  2. Step 2: Convert to fraction form
    379,840/563,904 = 563,904/x
  3. Step 3: Cross multiply
    379,840x = 563,904 × 563,904
  4. Step 4: Simplify right side
    379,840x = 317,987,721,216
  5. Step 5: Solve for x
    x = 317,987,721,216/379,840
  6. Step 6: Final answer
    x = 837,162.28

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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.