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Finding the Third Proportional to 465,796 and 701,028

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Solution

The third proportional to 465,796 and 701,028 is: 1,055,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,796 : 701,028 = 701,028 : x
  2. Step 2: Convert to fraction form
    465,796/701,028 = 701,028/x
  3. Step 3: Cross multiply
    465,796x = 701,028 × 701,028
  4. Step 4: Simplify right side
    465,796x = 491,440,256,784
  5. Step 5: Solve for x
    x = 491,440,256,784/465,796
  6. Step 6: Final answer
    x = 1,055,054.70

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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.