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Finding the Third Proportional to 246,080 and 377,247

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Solution

The third proportional to 246,080 and 377,247 is: 578,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,080 : 377,247 = 377,247 : x
  2. Step 2: Convert to fraction form
    246,080/377,247 = 377,247/x
  3. Step 3: Cross multiply
    246,080x = 377,247 × 377,247
  4. Step 4: Simplify right side
    246,080x = 142,315,299,009
  5. Step 5: Solve for x
    x = 142,315,299,009/246,080
  6. Step 6: Final answer
    x = 578,329.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.