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Finding the Third Proportional to 239,810.63 and 518,045.63

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Solution

The third proportional to 239,810.63 and 518,045.63 is: 1,119,096.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,810.63 : 518,045.63 = 518,045.63 : x
  2. Step 2: Convert to fraction form
    239,810.63/518,045.63 = 518,045.63/x
  3. Step 3: Cross multiply
    239,810.63x = 518,045.63 × 518,045.63
  4. Step 4: Simplify right side
    239,810.63x = 268,371,269,581.64
  5. Step 5: Solve for x
    x = 268,371,269,581.64/239,810.63
  6. Step 6: Final answer
    x = 1,119,096.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.