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Finding the Third Proportional to 306,014 and 665,362

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Solution

The third proportional to 306,014 and 665,362 is: 1,446,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,014 : 665,362 = 665,362 : x
  2. Step 2: Convert to fraction form
    306,014/665,362 = 665,362/x
  3. Step 3: Cross multiply
    306,014x = 665,362 × 665,362
  4. Step 4: Simplify right side
    306,014x = 442,706,591,044
  5. Step 5: Solve for x
    x = 442,706,591,044/306,014
  6. Step 6: Final answer
    x = 1,446,687.38

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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.