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Finding the Third Proportional to 286,099 and 432,830

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Solution

The third proportional to 286,099 and 432,830 is: 654,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,099 : 432,830 = 432,830 : x
  2. Step 2: Convert to fraction form
    286,099/432,830 = 432,830/x
  3. Step 3: Cross multiply
    286,099x = 432,830 × 432,830
  4. Step 4: Simplify right side
    286,099x = 187,341,808,900
  5. Step 5: Solve for x
    x = 187,341,808,900/286,099
  6. Step 6: Final answer
    x = 654,814.62

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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.