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Finding the Third Proportional to 423,426 and 601,869

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Solution

The third proportional to 423,426 and 601,869 is: 855,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,426 : 601,869 = 601,869 : x
  2. Step 2: Convert to fraction form
    423,426/601,869 = 601,869/x
  3. Step 3: Cross multiply
    423,426x = 601,869 × 601,869
  4. Step 4: Simplify right side
    423,426x = 362,246,293,161
  5. Step 5: Solve for x
    x = 362,246,293,161/423,426
  6. Step 6: Final answer
    x = 855,512.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.