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Finding the Third Proportional to 246,783 and 373,212

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Solution

The third proportional to 246,783 and 373,212 is: 564,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,783 : 373,212 = 373,212 : x
  2. Step 2: Convert to fraction form
    246,783/373,212 = 373,212/x
  3. Step 3: Cross multiply
    246,783x = 373,212 × 373,212
  4. Step 4: Simplify right side
    246,783x = 139,287,196,944
  5. Step 5: Solve for x
    x = 139,287,196,944/246,783
  6. Step 6: Final answer
    x = 564,411.64

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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.