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Finding the Third Proportional to 295,362 and 640,134

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Solution

The third proportional to 295,362 and 640,134 is: 1,387,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,362 : 640,134 = 640,134 : x
  2. Step 2: Convert to fraction form
    295,362/640,134 = 640,134/x
  3. Step 3: Cross multiply
    295,362x = 640,134 × 640,134
  4. Step 4: Simplify right side
    295,362x = 409,771,537,956
  5. Step 5: Solve for x
    x = 409,771,537,956/295,362
  6. Step 6: Final answer
    x = 1,387,353.61

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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.