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Finding the Third Proportional to 274,507.50 and 438,309

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Solution

The third proportional to 274,507.50 and 438,309 is: 699,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,507.50 : 438,309 = 438,309 : x
  2. Step 2: Convert to fraction form
    274,507.50/438,309 = 438,309/x
  3. Step 3: Cross multiply
    274,507.50x = 438,309 × 438,309
  4. Step 4: Simplify right side
    274,507.50x = 192,114,779,481
  5. Step 5: Solve for x
    x = 192,114,779,481/274,507.50
  6. Step 6: Final answer
    x = 699,852.57

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.