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Finding the Third Proportional to 341,568 and 510,444

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Solution

The third proportional to 341,568 and 510,444 is: 762,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,568 : 510,444 = 510,444 : x
  2. Step 2: Convert to fraction form
    341,568/510,444 = 510,444/x
  3. Step 3: Cross multiply
    341,568x = 510,444 × 510,444
  4. Step 4: Simplify right side
    341,568x = 260,553,077,136
  5. Step 5: Solve for x
    x = 260,553,077,136/341,568
  6. Step 6: Final answer
    x = 762,814.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.