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Finding the Third Proportional to 297,289.50 and 653,619

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Solution

The third proportional to 297,289.50 and 653,619 is: 1,437,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,289.50 : 653,619 = 653,619 : x
  2. Step 2: Convert to fraction form
    297,289.50/653,619 = 653,619/x
  3. Step 3: Cross multiply
    297,289.50x = 653,619 × 653,619
  4. Step 4: Simplify right side
    297,289.50x = 427,217,797,161
  5. Step 5: Solve for x
    x = 427,217,797,161/297,289.50
  6. Step 6: Final answer
    x = 1,437,043.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.