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Finding the Third Proportional to 406,966 and 598,269

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Solution

The third proportional to 406,966 and 598,269 is: 879,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,966 : 598,269 = 598,269 : x
  2. Step 2: Convert to fraction form
    406,966/598,269 = 598,269/x
  3. Step 3: Cross multiply
    406,966x = 598,269 × 598,269
  4. Step 4: Simplify right side
    406,966x = 357,925,796,361
  5. Step 5: Solve for x
    x = 357,925,796,361/406,966
  6. Step 6: Final answer
    x = 879,498.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.