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Finding the Third Proportional to 295,339.50 and 644,133.94

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Solution

The third proportional to 295,339.50 and 644,133.94 is: 1,404,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,339.50 : 644,133.94 = 644,133.94 : x
  2. Step 2: Convert to fraction form
    295,339.50/644,133.94 = 644,133.94/x
  3. Step 3: Cross multiply
    295,339.50x = 644,133.94 × 644,133.94
  4. Step 4: Simplify right side
    295,339.50x = 414,908,529,439.25
  5. Step 5: Solve for x
    x = 414,908,529,439.25/295,339.50
  6. Step 6: Final answer
    x = 1,404,852.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.