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Finding the Third Proportional to 301,304 and 655,036

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Solution

The third proportional to 301,304 and 655,036 is: 1,424,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,304 : 655,036 = 655,036 : x
  2. Step 2: Convert to fraction form
    301,304/655,036 = 655,036/x
  3. Step 3: Cross multiply
    301,304x = 655,036 × 655,036
  4. Step 4: Simplify right side
    301,304x = 429,072,161,296
  5. Step 5: Solve for x
    x = 429,072,161,296/301,304
  6. Step 6: Final answer
    x = 1,424,050.66

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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.