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Finding the Third Proportional to 334,153.50 and 478,846.50

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Solution

The third proportional to 334,153.50 and 478,846.50 is: 686,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,153.50 : 478,846.50 = 478,846.50 : x
  2. Step 2: Convert to fraction form
    334,153.50/478,846.50 = 478,846.50/x
  3. Step 3: Cross multiply
    334,153.50x = 478,846.50 × 478,846.50
  4. Step 4: Simplify right side
    334,153.50x = 229,293,970,562.25
  5. Step 5: Solve for x
    x = 229,293,970,562.25/334,153.50
  6. Step 6: Final answer
    x = 686,193.53

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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.