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Finding the Third Proportional to 250,509.38 and 525,636

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Solution

The third proportional to 250,509.38 and 525,636 is: 1,102,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,509.38 : 525,636 = 525,636 : x
  2. Step 2: Convert to fraction form
    250,509.38/525,636 = 525,636/x
  3. Step 3: Cross multiply
    250,509.38x = 525,636 × 525,636
  4. Step 4: Simplify right side
    250,509.38x = 276,293,204,496
  5. Step 5: Solve for x
    x = 276,293,204,496/250,509.38
  6. Step 6: Final answer
    x = 1,102,925.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.