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Finding the Third Proportional to 465,872 and 702,672

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Solution

The third proportional to 465,872 and 702,672 is: 1,059,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,872 : 702,672 = 702,672 : x
  2. Step 2: Convert to fraction form
    465,872/702,672 = 702,672/x
  3. Step 3: Cross multiply
    465,872x = 702,672 × 702,672
  4. Step 4: Simplify right side
    465,872x = 493,747,939,584
  5. Step 5: Solve for x
    x = 493,747,939,584/465,872
  6. Step 6: Final answer
    x = 1,059,836.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.