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Finding the Third Proportional to 209,652.75 and 452,500.88

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Solution

The third proportional to 209,652.75 and 452,500.88 is: 976,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,652.75 : 452,500.88 = 452,500.88 : x
  2. Step 2: Convert to fraction form
    209,652.75/452,500.88 = 452,500.88/x
  3. Step 3: Cross multiply
    209,652.75x = 452,500.88 × 452,500.88
  4. Step 4: Simplify right side
    209,652.75x = 204,757,041,875.77
  5. Step 5: Solve for x
    x = 204,757,041,875.77/209,652.75
  6. Step 6: Final answer
    x = 976,648.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.