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Finding the Third Proportional to 312,058 and 456,979

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Solution

The third proportional to 312,058 and 456,979 is: 669,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,058 : 456,979 = 456,979 : x
  2. Step 2: Convert to fraction form
    312,058/456,979 = 456,979/x
  3. Step 3: Cross multiply
    312,058x = 456,979 × 456,979
  4. Step 4: Simplify right side
    312,058x = 208,829,806,441
  5. Step 5: Solve for x
    x = 208,829,806,441/312,058
  6. Step 6: Final answer
    x = 669,201.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.