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Finding the Third Proportional to 465,108 and 701,070

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Solution

The third proportional to 465,108 and 701,070 is: 1,056,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,108 : 701,070 = 701,070 : x
  2. Step 2: Convert to fraction form
    465,108/701,070 = 701,070/x
  3. Step 3: Cross multiply
    465,108x = 701,070 × 701,070
  4. Step 4: Simplify right side
    465,108x = 491,499,144,900
  5. Step 5: Solve for x
    x = 491,499,144,900/465,108
  6. Step 6: Final answer
    x = 1,056,741.97

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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.