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Finding the Third Proportional to 209,913.75 and 452,997

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Solution

The third proportional to 209,913.75 and 452,997 is: 977,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,913.75 : 452,997 = 452,997 : x
  2. Step 2: Convert to fraction form
    209,913.75/452,997 = 452,997/x
  3. Step 3: Cross multiply
    209,913.75x = 452,997 × 452,997
  4. Step 4: Simplify right side
    209,913.75x = 205,206,282,009
  5. Step 5: Solve for x
    x = 205,206,282,009/209,913.75
  6. Step 6: Final answer
    x = 977,574.28

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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.