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Finding the Third Proportional to 305,264 and 663,076

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Solution

The third proportional to 305,264 and 663,076 is: 1,440,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,264 : 663,076 = 663,076 : x
  2. Step 2: Convert to fraction form
    305,264/663,076 = 663,076/x
  3. Step 3: Cross multiply
    305,264x = 663,076 × 663,076
  4. Step 4: Simplify right side
    305,264x = 439,669,781,776
  5. Step 5: Solve for x
    x = 439,669,781,776/305,264
  6. Step 6: Final answer
    x = 1,440,293.59

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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.