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Finding the Third Proportional to 406,236 and 593,658

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Solution

The third proportional to 406,236 and 593,658 is: 867,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,236 : 593,658 = 593,658 : x
  2. Step 2: Convert to fraction form
    406,236/593,658 = 593,658/x
  3. Step 3: Cross multiply
    406,236x = 593,658 × 593,658
  4. Step 4: Simplify right side
    406,236x = 352,429,820,964
  5. Step 5: Solve for x
    x = 352,429,820,964/406,236
  6. Step 6: Final answer
    x = 867,549.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.