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Finding the Third Proportional to 210,359.50 and 452,795

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Solution

The third proportional to 210,359.50 and 452,795 is: 974,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,359.50 : 452,795 = 452,795 : x
  2. Step 2: Convert to fraction form
    210,359.50/452,795 = 452,795/x
  3. Step 3: Cross multiply
    210,359.50x = 452,795 × 452,795
  4. Step 4: Simplify right side
    210,359.50x = 205,023,312,025
  5. Step 5: Solve for x
    x = 205,023,312,025/210,359.50
  6. Step 6: Final answer
    x = 974,633.01

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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.