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Finding the Third Proportional to 263,133 and 544,318.50

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Solution

The third proportional to 263,133 and 544,318.50 is: 1,125,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,133 : 544,318.50 = 544,318.50 : x
  2. Step 2: Convert to fraction form
    263,133/544,318.50 = 544,318.50/x
  3. Step 3: Cross multiply
    263,133x = 544,318.50 × 544,318.50
  4. Step 4: Simplify right side
    263,133x = 296,282,629,442.25
  5. Step 5: Solve for x
    x = 296,282,629,442.25/263,133
  6. Step 6: Final answer
    x = 1,125,980.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.