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Finding the Third Proportional to 435,864 and 666,480

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Solution

The third proportional to 435,864 and 666,480 is: 1,019,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,864 : 666,480 = 666,480 : x
  2. Step 2: Convert to fraction form
    435,864/666,480 = 666,480/x
  3. Step 3: Cross multiply
    435,864x = 666,480 × 666,480
  4. Step 4: Simplify right side
    435,864x = 444,195,590,400
  5. Step 5: Solve for x
    x = 444,195,590,400/435,864
  6. Step 6: Final answer
    x = 1,019,115.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.