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Finding the Third Proportional to 488,514 and 1,060,583.25

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Solution

The third proportional to 488,514 and 1,060,583.25 is: 2,302,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,514 : 1,060,583.25 = 1,060,583.25 : x
  2. Step 2: Convert to fraction form
    488,514/1,060,583.25 = 1,060,583.25/x
  3. Step 3: Cross multiply
    488,514x = 1,060,583.25 × 1,060,583.25
  4. Step 4: Simplify right side
    488,514x = 1,124,836,830,180.56
  5. Step 5: Solve for x
    x = 1,124,836,830,180.56/488,514
  6. Step 6: Final answer
    x = 2,302,568.26

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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.