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Finding the Third Proportional to 430,508 and 601,874

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Solution

The third proportional to 430,508 and 601,874 is: 841,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,508 : 601,874 = 601,874 : x
  2. Step 2: Convert to fraction form
    430,508/601,874 = 601,874/x
  3. Step 3: Cross multiply
    430,508x = 601,874 × 601,874
  4. Step 4: Simplify right side
    430,508x = 362,252,311,876
  5. Step 5: Solve for x
    x = 362,252,311,876/430,508
  6. Step 6: Final answer
    x = 841,453.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.