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Finding the Third Proportional to 254,702 and 553,633

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Solution

The third proportional to 254,702 and 553,633 is: 1,203,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,702 : 553,633 = 553,633 : x
  2. Step 2: Convert to fraction form
    254,702/553,633 = 553,633/x
  3. Step 3: Cross multiply
    254,702x = 553,633 × 553,633
  4. Step 4: Simplify right side
    254,702x = 306,509,498,689
  5. Step 5: Solve for x
    x = 306,509,498,689/254,702
  6. Step 6: Final answer
    x = 1,203,404.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.