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Finding the Third Proportional to 300,306 and 652,530

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Solution

The third proportional to 300,306 and 652,530 is: 1,417,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,306 : 652,530 = 652,530 : x
  2. Step 2: Convert to fraction form
    300,306/652,530 = 652,530/x
  3. Step 3: Cross multiply
    300,306x = 652,530 × 652,530
  4. Step 4: Simplify right side
    300,306x = 425,795,400,900
  5. Step 5: Solve for x
    x = 425,795,400,900/300,306
  6. Step 6: Final answer
    x = 1,417,871.77

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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.