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Finding the Third Proportional to 393,014 and 592,828

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Solution

The third proportional to 393,014 and 592,828 is: 894,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,014 : 592,828 = 592,828 : x
  2. Step 2: Convert to fraction form
    393,014/592,828 = 592,828/x
  3. Step 3: Cross multiply
    393,014x = 592,828 × 592,828
  4. Step 4: Simplify right side
    393,014x = 351,445,037,584
  5. Step 5: Solve for x
    x = 351,445,037,584/393,014
  6. Step 6: Final answer
    x = 894,230.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.