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Finding the Third Proportional to 286,096 and 432,827

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Solution

The third proportional to 286,096 and 432,827 is: 654,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,096 : 432,827 = 432,827 : x
  2. Step 2: Convert to fraction form
    286,096/432,827 = 432,827/x
  3. Step 3: Cross multiply
    286,096x = 432,827 × 432,827
  4. Step 4: Simplify right side
    286,096x = 187,339,211,929
  5. Step 5: Solve for x
    x = 187,339,211,929/286,096
  6. Step 6: Final answer
    x = 654,812.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.