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Finding the Third Proportional to 246,789 and 373,221

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Solution

The third proportional to 246,789 and 373,221 is: 564,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,789 : 373,221 = 373,221 : x
  2. Step 2: Convert to fraction form
    246,789/373,221 = 373,221/x
  3. Step 3: Cross multiply
    246,789x = 373,221 × 373,221
  4. Step 4: Simplify right side
    246,789x = 139,293,914,841
  5. Step 5: Solve for x
    x = 139,293,914,841/246,789
  6. Step 6: Final answer
    x = 564,425.14

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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.