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Finding the Third Proportional to 232,019 and 506,650

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Solution

The third proportional to 232,019 and 506,650 is: 1,106,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,019 : 506,650 = 506,650 : x
  2. Step 2: Convert to fraction form
    232,019/506,650 = 506,650/x
  3. Step 3: Cross multiply
    232,019x = 506,650 × 506,650
  4. Step 4: Simplify right side
    232,019x = 256,694,222,500
  5. Step 5: Solve for x
    x = 256,694,222,500/232,019
  6. Step 6: Final answer
    x = 1,106,350.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.