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Finding the Third Proportional to 233,571 and 510,760

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Solution

The third proportional to 233,571 and 510,760 is: 1,116,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,571 : 510,760 = 510,760 : x
  2. Step 2: Convert to fraction form
    233,571/510,760 = 510,760/x
  3. Step 3: Cross multiply
    233,571x = 510,760 × 510,760
  4. Step 4: Simplify right side
    233,571x = 260,875,777,600
  5. Step 5: Solve for x
    x = 260,875,777,600/233,571
  6. Step 6: Final answer
    x = 1,116,901.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.