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Finding the Third Proportional to 210,256 and 486,248

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Solution

The third proportional to 210,256 and 486,248 is: 1,124,520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,256 : 486,248 = 486,248 : x
  2. Step 2: Convert to fraction form
    210,256/486,248 = 486,248/x
  3. Step 3: Cross multiply
    210,256x = 486,248 × 486,248
  4. Step 4: Simplify right side
    210,256x = 236,437,117,504
  5. Step 5: Solve for x
    x = 236,437,117,504/210,256
  6. Step 6: Final answer
    x = 1,124,520.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.