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Finding the Third Proportional to 334,849.50 and 478,644.75

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Solution

The third proportional to 334,849.50 and 478,644.75 is: 684,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,849.50 : 478,644.75 = 478,644.75 : x
  2. Step 2: Convert to fraction form
    334,849.50/478,644.75 = 478,644.75/x
  3. Step 3: Cross multiply
    334,849.50x = 478,644.75 × 478,644.75
  4. Step 4: Simplify right side
    334,849.50x = 229,100,796,702.56
  5. Step 5: Solve for x
    x = 229,100,796,702.56/334,849.50
  6. Step 6: Final answer
    x = 684,190.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.