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Finding the Third Proportional to 342,102 and 530,999

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Solution

The third proportional to 342,102 and 530,999 is: 824,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,102 : 530,999 = 530,999 : x
  2. Step 2: Convert to fraction form
    342,102/530,999 = 530,999/x
  3. Step 3: Cross multiply
    342,102x = 530,999 × 530,999
  4. Step 4: Simplify right side
    342,102x = 281,959,938,001
  5. Step 5: Solve for x
    x = 281,959,938,001/342,102
  6. Step 6: Final answer
    x = 824,198.45

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