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Finding the Third Proportional to 250,064 and 589,935

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Solution

The third proportional to 250,064 and 589,935 is: 1,391,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,064 : 589,935 = 589,935 : x
  2. Step 2: Convert to fraction form
    250,064/589,935 = 589,935/x
  3. Step 3: Cross multiply
    250,064x = 589,935 × 589,935
  4. Step 4: Simplify right side
    250,064x = 348,023,304,225
  5. Step 5: Solve for x
    x = 348,023,304,225/250,064
  6. Step 6: Final answer
    x = 1,391,736.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.