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Finding the Third Proportional to 239,985.38 and 515,585.63

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Solution

The third proportional to 239,985.38 and 515,585.63 is: 1,107,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,985.38 : 515,585.63 = 515,585.63 : x
  2. Step 2: Convert to fraction form
    239,985.38/515,585.63 = 515,585.63/x
  3. Step 3: Cross multiply
    239,985.38x = 515,585.63 × 515,585.63
  4. Step 4: Simplify right side
    239,985.38x = 265,828,536,706.64
  5. Step 5: Solve for x
    x = 265,828,536,706.64/239,985.38
  6. Step 6: Final answer
    x = 1,107,686.40

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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.