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Finding the Third Proportional to 510,399.75 and 614,829

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Solution

The third proportional to 510,399.75 and 614,829 is: 740,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,399.75 : 614,829 = 614,829 : x
  2. Step 2: Convert to fraction form
    510,399.75/614,829 = 614,829/x
  3. Step 3: Cross multiply
    510,399.75x = 614,829 × 614,829
  4. Step 4: Simplify right side
    510,399.75x = 378,014,699,241
  5. Step 5: Solve for x
    x = 378,014,699,241/510,399.75
  6. Step 6: Final answer
    x = 740,624.77

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.