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Finding the Third Proportional to 209,452.50 and 452,110.50

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Solution

The third proportional to 209,452.50 and 452,110.50 is: 975,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,452.50 : 452,110.50 = 452,110.50 : x
  2. Step 2: Convert to fraction form
    209,452.50/452,110.50 = 452,110.50/x
  3. Step 3: Cross multiply
    209,452.50x = 452,110.50 × 452,110.50
  4. Step 4: Simplify right side
    209,452.50x = 204,403,904,210.25
  5. Step 5: Solve for x
    x = 204,403,904,210.25/209,452.50
  6. Step 6: Final answer
    x = 975,896.23

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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.