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Finding the Third Proportional to 345,609 and 494,221.50

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Solution

The third proportional to 345,609 and 494,221.50 is: 706,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,609 : 494,221.50 = 494,221.50 : x
  2. Step 2: Convert to fraction form
    345,609/494,221.50 = 494,221.50/x
  3. Step 3: Cross multiply
    345,609x = 494,221.50 × 494,221.50
  4. Step 4: Simplify right side
    345,609x = 244,254,891,062.25
  5. Step 5: Solve for x
    x = 244,254,891,062.25/345,609
  6. Step 6: Final answer
    x = 706,737.65

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