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Finding the Third Proportional to 286,320 and 378,576

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Solution

The third proportional to 286,320 and 378,576 is: 500,558.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,320 : 378,576 = 378,576 : x
  2. Step 2: Convert to fraction form
    286,320/378,576 = 378,576/x
  3. Step 3: Cross multiply
    286,320x = 378,576 × 378,576
  4. Step 4: Simplify right side
    286,320x = 143,319,787,776
  5. Step 5: Solve for x
    x = 143,319,787,776/286,320
  6. Step 6: Final answer
    x = 500,558.07

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.