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Finding the Third Proportional to 210,358.50 and 452,793

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Solution

The third proportional to 210,358.50 and 452,793 is: 974,629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,358.50 : 452,793 = 452,793 : x
  2. Step 2: Convert to fraction form
    210,358.50/452,793 = 452,793/x
  3. Step 3: Cross multiply
    210,358.50x = 452,793 × 452,793
  4. Step 4: Simplify right side
    210,358.50x = 205,021,500,849
  5. Step 5: Solve for x
    x = 205,021,500,849/210,358.50
  6. Step 6: Final answer
    x = 974,629.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.