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Finding the Third Proportional to 286,095 and 432,825

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Solution

The third proportional to 286,095 and 432,825 is: 654,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095 : 432,825 = 432,825 : x
  2. Step 2: Convert to fraction form
    286,095/432,825 = 432,825/x
  3. Step 3: Cross multiply
    286,095x = 432,825 × 432,825
  4. Step 4: Simplify right side
    286,095x = 187,337,480,625
  5. Step 5: Solve for x
    x = 187,337,480,625/286,095
  6. Step 6: Final answer
    x = 654,808.65

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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.