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Finding the Third Proportional to 594,888 and 906,269

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Solution

The third proportional to 594,888 and 906,269 is: 1,380,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,888 : 906,269 = 906,269 : x
  2. Step 2: Convert to fraction form
    594,888/906,269 = 906,269/x
  3. Step 3: Cross multiply
    594,888x = 906,269 × 906,269
  4. Step 4: Simplify right side
    594,888x = 821,323,500,361
  5. Step 5: Solve for x
    x = 821,323,500,361/594,888
  6. Step 6: Final answer
    x = 1,380,635.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.