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Finding the Third Proportional to 295,254 and 640,524

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Solution

The third proportional to 295,254 and 640,524 is: 1,389,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,254 : 640,524 = 640,524 : x
  2. Step 2: Convert to fraction form
    295,254/640,524 = 640,524/x
  3. Step 3: Cross multiply
    295,254x = 640,524 × 640,524
  4. Step 4: Simplify right side
    295,254x = 410,270,994,576
  5. Step 5: Solve for x
    x = 410,270,994,576/295,254
  6. Step 6: Final answer
    x = 1,389,552.71

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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.