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Finding the Third Proportional to 233,946 and 362,907

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Solution

The third proportional to 233,946 and 362,907 is: 562,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,946 : 362,907 = 362,907 : x
  2. Step 2: Convert to fraction form
    233,946/362,907 = 362,907/x
  3. Step 3: Cross multiply
    233,946x = 362,907 × 362,907
  4. Step 4: Simplify right side
    233,946x = 131,701,490,649
  5. Step 5: Solve for x
    x = 131,701,490,649/233,946
  6. Step 6: Final answer
    x = 562,956.80

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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.