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Finding the Third Proportional to 273,047.63 and 427,398.19

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Solution

The third proportional to 273,047.63 and 427,398.19 is: 669,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,047.63 : 427,398.19 = 427,398.19 : x
  2. Step 2: Convert to fraction form
    273,047.63/427,398.19 = 427,398.19/x
  3. Step 3: Cross multiply
    273,047.63x = 427,398.19 × 427,398.19
  4. Step 4: Simplify right side
    273,047.63x = 182,669,210,678.29
  5. Step 5: Solve for x
    x = 182,669,210,678.29/273,047.63
  6. Step 6: Final answer
    x = 669,001.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.