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Finding the Third Proportional to 595,058 and 906,530

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Solution

The third proportional to 595,058 and 906,530 is: 1,381,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,058 : 906,530 = 906,530 : x
  2. Step 2: Convert to fraction form
    595,058/906,530 = 906,530/x
  3. Step 3: Cross multiply
    595,058x = 906,530 × 906,530
  4. Step 4: Simplify right side
    595,058x = 821,796,640,900
  5. Step 5: Solve for x
    x = 821,796,640,900/595,058
  6. Step 6: Final answer
    x = 1,381,036.20

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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.