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Finding the Third Proportional to 295,562.50 and 640,517

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Solution

The third proportional to 295,562.50 and 640,517 is: 1,388,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,562.50 : 640,517 = 640,517 : x
  2. Step 2: Convert to fraction form
    295,562.50/640,517 = 640,517/x
  3. Step 3: Cross multiply
    295,562.50x = 640,517 × 640,517
  4. Step 4: Simplify right side
    295,562.50x = 410,262,027,289
  5. Step 5: Solve for x
    x = 410,262,027,289/295,562.50
  6. Step 6: Final answer
    x = 1,388,071.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.