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Finding the Third Proportional to 246,966 and 380,709

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Solution

The third proportional to 246,966 and 380,709 is: 586,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,966 : 380,709 = 380,709 : x
  2. Step 2: Convert to fraction form
    246,966/380,709 = 380,709/x
  3. Step 3: Cross multiply
    246,966x = 380,709 × 380,709
  4. Step 4: Simplify right side
    246,966x = 144,939,342,681
  5. Step 5: Solve for x
    x = 144,939,342,681/246,966
  6. Step 6: Final answer
    x = 586,879.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.