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Finding the Third Proportional to 286,713 and 430,023

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Solution

The third proportional to 286,713 and 430,023 is: 644,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,713 : 430,023 = 430,023 : x
  2. Step 2: Convert to fraction form
    286,713/430,023 = 430,023/x
  3. Step 3: Cross multiply
    286,713x = 430,023 × 430,023
  4. Step 4: Simplify right side
    286,713x = 184,919,780,529
  5. Step 5: Solve for x
    x = 184,919,780,529/286,713
  6. Step 6: Final answer
    x = 644,964.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.