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Finding the Third Proportional to 286,087 and 432,817

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Solution

The third proportional to 286,087 and 432,817 is: 654,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,087 : 432,817 = 432,817 : x
  2. Step 2: Convert to fraction form
    286,087/432,817 = 432,817/x
  3. Step 3: Cross multiply
    286,087x = 432,817 × 432,817
  4. Step 4: Simplify right side
    286,087x = 187,330,555,489
  5. Step 5: Solve for x
    x = 187,330,555,489/286,087
  6. Step 6: Final answer
    x = 654,802.75

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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.