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Finding the Third Proportional to 294,586 and 460,836

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Solution

The third proportional to 294,586 and 460,836 is: 720,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,586 : 460,836 = 460,836 : x
  2. Step 2: Convert to fraction form
    294,586/460,836 = 460,836/x
  3. Step 3: Cross multiply
    294,586x = 460,836 × 460,836
  4. Step 4: Simplify right side
    294,586x = 212,369,818,896
  5. Step 5: Solve for x
    x = 212,369,818,896/294,586
  6. Step 6: Final answer
    x = 720,909.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.