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Finding the Third Proportional to 296,806 and 660,058

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Solution

The third proportional to 296,806 and 660,058 is: 1,467,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,806 : 660,058 = 660,058 : x
  2. Step 2: Convert to fraction form
    296,806/660,058 = 660,058/x
  3. Step 3: Cross multiply
    296,806x = 660,058 × 660,058
  4. Step 4: Simplify right side
    296,806x = 435,676,563,364
  5. Step 5: Solve for x
    x = 435,676,563,364/296,806
  6. Step 6: Final answer
    x = 1,467,883.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.