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Finding the Third Proportional to 445,440 and 682,272

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Solution

The third proportional to 445,440 and 682,272 is: 1,045,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,440 : 682,272 = 682,272 : x
  2. Step 2: Convert to fraction form
    445,440/682,272 = 682,272/x
  3. Step 3: Cross multiply
    445,440x = 682,272 × 682,272
  4. Step 4: Simplify right side
    445,440x = 465,495,081,984
  5. Step 5: Solve for x
    x = 465,495,081,984/445,440
  6. Step 6: Final answer
    x = 1,045,023.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.