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Finding the Third Proportional to 264,816 and 410,304

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Solution

The third proportional to 264,816 and 410,304 is: 635,722.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,816 : 410,304 = 410,304 : x
  2. Step 2: Convert to fraction form
    264,816/410,304 = 410,304/x
  3. Step 3: Cross multiply
    264,816x = 410,304 × 410,304
  4. Step 4: Simplify right side
    264,816x = 168,349,372,416
  5. Step 5: Solve for x
    x = 168,349,372,416/264,816
  6. Step 6: Final answer
    x = 635,722.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.