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Finding the Third Proportional to 456,892 and 702,762

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Solution

The third proportional to 456,892 and 702,762 is: 1,080,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,892 : 702,762 = 702,762 : x
  2. Step 2: Convert to fraction form
    456,892/702,762 = 702,762/x
  3. Step 3: Cross multiply
    456,892x = 702,762 × 702,762
  4. Step 4: Simplify right side
    456,892x = 493,874,428,644
  5. Step 5: Solve for x
    x = 493,874,428,644/456,892
  6. Step 6: Final answer
    x = 1,080,943.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.