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Finding the Third Proportional to 406,304 and 635,376

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Solution

The third proportional to 406,304 and 635,376 is: 993,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,304 : 635,376 = 635,376 : x
  2. Step 2: Convert to fraction form
    406,304/635,376 = 635,376/x
  3. Step 3: Cross multiply
    406,304x = 635,376 × 635,376
  4. Step 4: Simplify right side
    406,304x = 403,702,661,376
  5. Step 5: Solve for x
    x = 403,702,661,376/406,304
  6. Step 6: Final answer
    x = 993,597.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.