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Finding the Third Proportional to 406,976 and 598,286

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Solution

The third proportional to 406,976 and 598,286 is: 879,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,976 : 598,286 = 598,286 : x
  2. Step 2: Convert to fraction form
    406,976/598,286 = 598,286/x
  3. Step 3: Cross multiply
    406,976x = 598,286 × 598,286
  4. Step 4: Simplify right side
    406,976x = 357,946,137,796
  5. Step 5: Solve for x
    x = 357,946,137,796/406,976
  6. Step 6: Final answer
    x = 879,526.40

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