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Finding the Third Proportional to 297,453.50 and 579,962

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Solution

The third proportional to 297,453.50 and 579,962 is: 1,130,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,453.50 : 579,962 = 579,962 : x
  2. Step 2: Convert to fraction form
    297,453.50/579,962 = 579,962/x
  3. Step 3: Cross multiply
    297,453.50x = 579,962 × 579,962
  4. Step 4: Simplify right side
    297,453.50x = 336,355,921,444
  5. Step 5: Solve for x
    x = 336,355,921,444/297,453.50
  6. Step 6: Final answer
    x = 1,130,784.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.