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Finding the Third Proportional to 350,215 and 535,489.50

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Solution

The third proportional to 350,215 and 535,489.50 is: 818,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,215 : 535,489.50 = 535,489.50 : x
  2. Step 2: Convert to fraction form
    350,215/535,489.50 = 535,489.50/x
  3. Step 3: Cross multiply
    350,215x = 535,489.50 × 535,489.50
  4. Step 4: Simplify right side
    350,215x = 286,749,004,610.25
  5. Step 5: Solve for x
    x = 286,749,004,610.25/350,215
  6. Step 6: Final answer
    x = 818,779.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.