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Finding the Third Proportional to 262,651 and 382,495

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Solution

The third proportional to 262,651 and 382,495 is: 557,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,651 : 382,495 = 382,495 : x
  2. Step 2: Convert to fraction form
    262,651/382,495 = 382,495/x
  3. Step 3: Cross multiply
    262,651x = 382,495 × 382,495
  4. Step 4: Simplify right side
    262,651x = 146,302,425,025
  5. Step 5: Solve for x
    x = 146,302,425,025/262,651
  6. Step 6: Final answer
    x = 557,022.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.