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Finding the Third Proportional to 232,526 and 350,497

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Solution

The third proportional to 232,526 and 350,497 is: 528,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,526 : 350,497 = 350,497 : x
  2. Step 2: Convert to fraction form
    232,526/350,497 = 350,497/x
  3. Step 3: Cross multiply
    232,526x = 350,497 × 350,497
  4. Step 4: Simplify right side
    232,526x = 122,848,147,009
  5. Step 5: Solve for x
    x = 122,848,147,009/232,526
  6. Step 6: Final answer
    x = 528,320.05

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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.