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Finding the Third Proportional to 300,294 and 652,860

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Solution

The third proportional to 300,294 and 652,860 is: 1,419,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,294 : 652,860 = 652,860 : x
  2. Step 2: Convert to fraction form
    300,294/652,860 = 652,860/x
  3. Step 3: Cross multiply
    300,294x = 652,860 × 652,860
  4. Step 4: Simplify right side
    300,294x = 426,226,179,600
  5. Step 5: Solve for x
    x = 426,226,179,600/300,294
  6. Step 6: Final answer
    x = 1,419,362.96

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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.