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Finding the Third Proportional to 214,990.50 and 447,627

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Solution

The third proportional to 214,990.50 and 447,627 is: 931,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,990.50 : 447,627 = 447,627 : x
  2. Step 2: Convert to fraction form
    214,990.50/447,627 = 447,627/x
  3. Step 3: Cross multiply
    214,990.50x = 447,627 × 447,627
  4. Step 4: Simplify right side
    214,990.50x = 200,369,931,129
  5. Step 5: Solve for x
    x = 200,369,931,129/214,990.50
  6. Step 6: Final answer
    x = 931,994.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.