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Finding the Third Proportional to 232,024 and 506,660

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Solution

The third proportional to 232,024 and 506,660 is: 1,106,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,024 : 506,660 = 506,660 : x
  2. Step 2: Convert to fraction form
    232,024/506,660 = 506,660/x
  3. Step 3: Cross multiply
    232,024x = 506,660 × 506,660
  4. Step 4: Simplify right side
    232,024x = 256,704,355,600
  5. Step 5: Solve for x
    x = 256,704,355,600/232,024
  6. Step 6: Final answer
    x = 1,106,369.84

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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.