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Finding the Third Proportional to 490,435 and 749,908.50

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Solution

The third proportional to 490,435 and 749,908.50 is: 1,146,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,435 : 749,908.50 = 749,908.50 : x
  2. Step 2: Convert to fraction form
    490,435/749,908.50 = 749,908.50/x
  3. Step 3: Cross multiply
    490,435x = 749,908.50 × 749,908.50
  4. Step 4: Simplify right side
    490,435x = 562,362,758,372.25
  5. Step 5: Solve for x
    x = 562,362,758,372.25/490,435
  6. Step 6: Final answer
    x = 1,146,661.14

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.