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Finding the Third Proportional to 398,058 and 596,841

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Solution

The third proportional to 398,058 and 596,841 is: 894,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,058 : 596,841 = 596,841 : x
  2. Step 2: Convert to fraction form
    398,058/596,841 = 596,841/x
  3. Step 3: Cross multiply
    398,058x = 596,841 × 596,841
  4. Step 4: Simplify right side
    398,058x = 356,219,179,281
  5. Step 5: Solve for x
    x = 356,219,179,281/398,058
  6. Step 6: Final answer
    x = 894,892.65

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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.