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Finding the Third Proportional to 322,034 and 757,733

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Solution

The third proportional to 322,034 and 757,733 is: 1,782,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,034 : 757,733 = 757,733 : x
  2. Step 2: Convert to fraction form
    322,034/757,733 = 757,733/x
  3. Step 3: Cross multiply
    322,034x = 757,733 × 757,733
  4. Step 4: Simplify right side
    322,034x = 574,159,299,289
  5. Step 5: Solve for x
    x = 574,159,299,289/322,034
  6. Step 6: Final answer
    x = 1,782,915.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.