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Finding the Third Proportional to 451,373.50 and 980,507

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Solution

The third proportional to 451,373.50 and 980,507 is: 2,129,930.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,373.50 : 980,507 = 980,507 : x
  2. Step 2: Convert to fraction form
    451,373.50/980,507 = 980,507/x
  3. Step 3: Cross multiply
    451,373.50x = 980,507 × 980,507
  4. Step 4: Simplify right side
    451,373.50x = 961,393,977,049
  5. Step 5: Solve for x
    x = 961,393,977,049/451,373.50
  6. Step 6: Final answer
    x = 2,129,930.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.