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Finding the Third Proportional to 404,133 and 627,529.50

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Solution

The third proportional to 404,133 and 627,529.50 is: 974,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,133 : 627,529.50 = 627,529.50 : x
  2. Step 2: Convert to fraction form
    404,133/627,529.50 = 627,529.50/x
  3. Step 3: Cross multiply
    404,133x = 627,529.50 × 627,529.50
  4. Step 4: Simplify right side
    404,133x = 393,793,273,370.25
  5. Step 5: Solve for x
    x = 393,793,273,370.25/404,133
  6. Step 6: Final answer
    x = 974,415.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.