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Finding the Third Proportional to 262,595.25 and 382,411.13

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Solution

The third proportional to 262,595.25 and 382,411.13 is: 556,896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,595.25 : 382,411.13 = 382,411.13 : x
  2. Step 2: Convert to fraction form
    262,595.25/382,411.13 = 382,411.13/x
  3. Step 3: Cross multiply
    262,595.25x = 382,411.13 × 382,411.13
  4. Step 4: Simplify right side
    262,595.25x = 146,238,268,523.77
  5. Step 5: Solve for x
    x = 146,238,268,523.77/262,595.25
  6. Step 6: Final answer
    x = 556,896.09

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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.