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Finding the Third Proportional to 250,060 and 589,928

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Solution

The third proportional to 250,060 and 589,928 is: 1,391,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,060 : 589,928 = 589,928 : x
  2. Step 2: Convert to fraction form
    250,060/589,928 = 589,928/x
  3. Step 3: Cross multiply
    250,060x = 589,928 × 589,928
  4. Step 4: Simplify right side
    250,060x = 348,015,045,184
  5. Step 5: Solve for x
    x = 348,015,045,184/250,060
  6. Step 6: Final answer
    x = 1,391,726.17

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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.