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Finding the Third Proportional to 296,071.50 and 449,646

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Solution

The third proportional to 296,071.50 and 449,646 is: 682,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,071.50 : 449,646 = 449,646 : x
  2. Step 2: Convert to fraction form
    296,071.50/449,646 = 449,646/x
  3. Step 3: Cross multiply
    296,071.50x = 449,646 × 449,646
  4. Step 4: Simplify right side
    296,071.50x = 202,181,525,316
  5. Step 5: Solve for x
    x = 202,181,525,316/296,071.50
  6. Step 6: Final answer
    x = 682,880.74

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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.