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Finding the Third Proportional to 301,769.25 and 655,437

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Solution

The third proportional to 301,769.25 and 655,437 is: 1,423,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,769.25 : 655,437 = 655,437 : x
  2. Step 2: Convert to fraction form
    301,769.25/655,437 = 655,437/x
  3. Step 3: Cross multiply
    301,769.25x = 655,437 × 655,437
  4. Step 4: Simplify right side
    301,769.25x = 429,597,660,969
  5. Step 5: Solve for x
    x = 429,597,660,969/301,769.25
  6. Step 6: Final answer
    x = 1,423,596.54

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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.