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Finding the Third Proportional to 208,409.63 and 448,966.13

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Solution

The third proportional to 208,409.63 and 448,966.13 is: 967,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,409.63 : 448,966.13 = 448,966.13 : x
  2. Step 2: Convert to fraction form
    208,409.63/448,966.13 = 448,966.13/x
  3. Step 3: Cross multiply
    208,409.63x = 448,966.13 × 448,966.13
  4. Step 4: Simplify right side
    208,409.63x = 201,570,581,397.52
  5. Step 5: Solve for x
    x = 201,570,581,397.52/208,409.63
  6. Step 6: Final answer
    x = 967,184.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.