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Finding the Third Proportional to 306,364 and 665,035

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Solution

The third proportional to 306,364 and 665,035 is: 1,443,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,364 : 665,035 = 665,035 : x
  2. Step 2: Convert to fraction form
    306,364/665,035 = 665,035/x
  3. Step 3: Cross multiply
    306,364x = 665,035 × 665,035
  4. Step 4: Simplify right side
    306,364x = 442,271,551,225
  5. Step 5: Solve for x
    x = 442,271,551,225/306,364
  6. Step 6: Final answer
    x = 1,443,614.63

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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.