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Finding the Third Proportional to 242,434 and 509,991.50

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Solution

The third proportional to 242,434 and 509,991.50 is: 1,072,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,434 : 509,991.50 = 509,991.50 : x
  2. Step 2: Convert to fraction form
    242,434/509,991.50 = 509,991.50/x
  3. Step 3: Cross multiply
    242,434x = 509,991.50 × 509,991.50
  4. Step 4: Simplify right side
    242,434x = 260,091,330,072.25
  5. Step 5: Solve for x
    x = 260,091,330,072.25/242,434
  6. Step 6: Final answer
    x = 1,072,833.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.