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Finding the Third Proportional to 434,864 and 600,888

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Solution

The third proportional to 434,864 and 600,888 is: 830,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,864 : 600,888 = 600,888 : x
  2. Step 2: Convert to fraction form
    434,864/600,888 = 600,888/x
  3. Step 3: Cross multiply
    434,864x = 600,888 × 600,888
  4. Step 4: Simplify right side
    434,864x = 361,066,388,544
  5. Step 5: Solve for x
    x = 361,066,388,544/434,864
  6. Step 6: Final answer
    x = 830,297.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.