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Finding the Third Proportional to 465,390 and 701,964

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Solution

The third proportional to 465,390 and 701,964 is: 1,058,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,390 : 701,964 = 701,964 : x
  2. Step 2: Convert to fraction form
    465,390/701,964 = 701,964/x
  3. Step 3: Cross multiply
    465,390x = 701,964 × 701,964
  4. Step 4: Simplify right side
    465,390x = 492,753,457,296
  5. Step 5: Solve for x
    x = 492,753,457,296/465,390
  6. Step 6: Final answer
    x = 1,058,796.83

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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.