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Finding the Third Proportional to 303,514.59 and 655,659.56

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Solution

The third proportional to 303,514.59 and 655,659.56 is: 1,416,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,514.59 : 655,659.56 = 655,659.56 : x
  2. Step 2: Convert to fraction form
    303,514.59/655,659.56 = 655,659.56/x
  3. Step 3: Cross multiply
    303,514.59x = 655,659.56 × 655,659.56
  4. Step 4: Simplify right side
    303,514.59x = 429,889,461,897.69
  5. Step 5: Solve for x
    x = 429,889,461,897.69/303,514.59
  6. Step 6: Final answer
    x = 1,416,371.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.