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Finding the Third Proportional to 460,092 and 674,664

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Solution

The third proportional to 460,092 and 674,664 is: 989,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,092 : 674,664 = 674,664 : x
  2. Step 2: Convert to fraction form
    460,092/674,664 = 674,664/x
  3. Step 3: Cross multiply
    460,092x = 674,664 × 674,664
  4. Step 4: Simplify right side
    460,092x = 455,171,512,896
  5. Step 5: Solve for x
    x = 455,171,512,896/460,092
  6. Step 6: Final answer
    x = 989,305.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.