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Finding the Third Proportional to 301,377 and 663,015

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Solution

The third proportional to 301,377 and 663,015 is: 1,458,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,377 : 663,015 = 663,015 : x
  2. Step 2: Convert to fraction form
    301,377/663,015 = 663,015/x
  3. Step 3: Cross multiply
    301,377x = 663,015 × 663,015
  4. Step 4: Simplify right side
    301,377x = 439,588,890,225
  5. Step 5: Solve for x
    x = 439,588,890,225/301,377
  6. Step 6: Final answer
    x = 1,458,601.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.