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Finding the Third Proportional to 255,625.88 and 536,949

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Solution

The third proportional to 255,625.88 and 536,949 is: 1,127,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,625.88 : 536,949 = 536,949 : x
  2. Step 2: Convert to fraction form
    255,625.88/536,949 = 536,949/x
  3. Step 3: Cross multiply
    255,625.88x = 536,949 × 536,949
  4. Step 4: Simplify right side
    255,625.88x = 288,314,228,601
  5. Step 5: Solve for x
    x = 288,314,228,601/255,625.88
  6. Step 6: Final answer
    x = 1,127,875.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.