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Finding the Third Proportional to 295,106 and 640,252

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Solution

The third proportional to 295,106 and 640,252 is: 1,389,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,106 : 640,252 = 640,252 : x
  2. Step 2: Convert to fraction form
    295,106/640,252 = 640,252/x
  3. Step 3: Cross multiply
    295,106x = 640,252 × 640,252
  4. Step 4: Simplify right side
    295,106x = 409,922,623,504
  5. Step 5: Solve for x
    x = 409,922,623,504/295,106
  6. Step 6: Final answer
    x = 1,389,069.09

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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.