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Finding the Third Proportional to 490,429 and 749,899.50

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Solution

The third proportional to 490,429 and 749,899.50 is: 1,146,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,429 : 749,899.50 = 749,899.50 : x
  2. Step 2: Convert to fraction form
    490,429/749,899.50 = 749,899.50/x
  3. Step 3: Cross multiply
    490,429x = 749,899.50 × 749,899.50
  4. Step 4: Simplify right side
    490,429x = 562,349,260,100.25
  5. Step 5: Solve for x
    x = 562,349,260,100.25/490,429
  6. Step 6: Final answer
    x = 1,146,647.65

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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.