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Finding the Third Proportional to 301,300 and 655,028

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Solution

The third proportional to 301,300 and 655,028 is: 1,424,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,300 : 655,028 = 655,028 : x
  2. Step 2: Convert to fraction form
    301,300/655,028 = 655,028/x
  3. Step 3: Cross multiply
    301,300x = 655,028 × 655,028
  4. Step 4: Simplify right side
    301,300x = 429,061,680,784
  5. Step 5: Solve for x
    x = 429,061,680,784/301,300
  6. Step 6: Final answer
    x = 1,424,034.79

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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.