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Finding the Third Proportional to 305,952 and 662,742

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Solution

The third proportional to 305,952 and 662,742 is: 1,435,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,952 : 662,742 = 662,742 : x
  2. Step 2: Convert to fraction form
    305,952/662,742 = 662,742/x
  3. Step 3: Cross multiply
    305,952x = 662,742 × 662,742
  4. Step 4: Simplify right side
    305,952x = 439,226,958,564
  5. Step 5: Solve for x
    x = 439,226,958,564/305,952
  6. Step 6: Final answer
    x = 1,435,607.41

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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.