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Finding the Third Proportional to 309,647 and 478,559

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Solution

The third proportional to 309,647 and 478,559 is: 739,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,647 : 478,559 = 478,559 : x
  2. Step 2: Convert to fraction form
    309,647/478,559 = 478,559/x
  3. Step 3: Cross multiply
    309,647x = 478,559 × 478,559
  4. Step 4: Simplify right side
    309,647x = 229,018,716,481
  5. Step 5: Solve for x
    x = 229,018,716,481/309,647
  6. Step 6: Final answer
    x = 739,612.26

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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.