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Finding the Third Proportional to 254,356 and 502,310

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Solution

The third proportional to 254,356 and 502,310 is: 991,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,356 : 502,310 = 502,310 : x
  2. Step 2: Convert to fraction form
    254,356/502,310 = 502,310/x
  3. Step 3: Cross multiply
    254,356x = 502,310 × 502,310
  4. Step 4: Simplify right side
    254,356x = 252,315,336,100
  5. Step 5: Solve for x
    x = 252,315,336,100/254,356
  6. Step 6: Final answer
    x = 991,977.13

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.