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Finding the Third Proportional to 246,326 and 370,582

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Solution

The third proportional to 246,326 and 370,582 is: 557,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,326 : 370,582 = 370,582 : x
  2. Step 2: Convert to fraction form
    246,326/370,582 = 370,582/x
  3. Step 3: Cross multiply
    246,326x = 370,582 × 370,582
  4. Step 4: Simplify right side
    246,326x = 137,331,018,724
  5. Step 5: Solve for x
    x = 137,331,018,724/246,326
  6. Step 6: Final answer
    x = 557,517.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.