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Finding the Third Proportional to 264,881 and 563,904

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Solution

The third proportional to 264,881 and 563,904 is: 1,200,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,881 : 563,904 = 563,904 : x
  2. Step 2: Convert to fraction form
    264,881/563,904 = 563,904/x
  3. Step 3: Cross multiply
    264,881x = 563,904 × 563,904
  4. Step 4: Simplify right side
    264,881x = 317,987,721,216
  5. Step 5: Solve for x
    x = 317,987,721,216/264,881
  6. Step 6: Final answer
    x = 1,200,492.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.