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Finding the Third Proportional to 254,187.49 and 553,584.38

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Solution

The third proportional to 254,187.49 and 553,584.38 is: 1,205,628.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,187.49 : 553,584.38 = 553,584.38 : x
  2. Step 2: Convert to fraction form
    254,187.49/553,584.38 = 553,584.38/x
  3. Step 3: Cross multiply
    254,187.49x = 553,584.38 × 553,584.38
  4. Step 4: Simplify right side
    254,187.49x = 306,455,660,244.14
  5. Step 5: Solve for x
    x = 306,455,660,244.14/254,187.49
  6. Step 6: Final answer
    x = 1,205,628.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.