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Finding the Third Proportional to 407,444 and 611,934

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Solution

The third proportional to 407,444 and 611,934 is: 919,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,444 : 611,934 = 611,934 : x
  2. Step 2: Convert to fraction form
    407,444/611,934 = 611,934/x
  3. Step 3: Cross multiply
    407,444x = 611,934 × 611,934
  4. Step 4: Simplify right side
    407,444x = 374,463,220,356
  5. Step 5: Solve for x
    x = 374,463,220,356/407,444
  6. Step 6: Final answer
    x = 919,054.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.