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Finding the Third Proportional to 345,321 and 525,181.50

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Solution

The third proportional to 345,321 and 525,181.50 is: 798,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,321 : 525,181.50 = 525,181.50 : x
  2. Step 2: Convert to fraction form
    345,321/525,181.50 = 525,181.50/x
  3. Step 3: Cross multiply
    345,321x = 525,181.50 × 525,181.50
  4. Step 4: Simplify right side
    345,321x = 275,815,607,942.25
  5. Step 5: Solve for x
    x = 275,815,607,942.25/345,321
  6. Step 6: Final answer
    x = 798,722.37

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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.