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Finding the Third Proportional to 309,674 and 478,606

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Solution

The third proportional to 309,674 and 478,606 is: 739,693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,674 : 478,606 = 478,606 : x
  2. Step 2: Convert to fraction form
    309,674/478,606 = 478,606/x
  3. Step 3: Cross multiply
    309,674x = 478,606 × 478,606
  4. Step 4: Simplify right side
    309,674x = 229,063,703,236
  5. Step 5: Solve for x
    x = 229,063,703,236/309,674
  6. Step 6: Final answer
    x = 739,693.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.