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Finding the Third Proportional to 345,051.50 and 523,786

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Solution

The third proportional to 345,051.50 and 523,786 is: 795,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,051.50 : 523,786 = 523,786 : x
  2. Step 2: Convert to fraction form
    345,051.50/523,786 = 523,786/x
  3. Step 3: Cross multiply
    345,051.50x = 523,786 × 523,786
  4. Step 4: Simplify right side
    345,051.50x = 274,351,773,796
  5. Step 5: Solve for x
    x = 274,351,773,796/345,051.50
  6. Step 6: Final answer
    x = 795,103.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.