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Finding the Third Proportional to 490,707 and 738,519.75

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Solution

The third proportional to 490,707 and 738,519.75 is: 1,111,480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,707 : 738,519.75 = 738,519.75 : x
  2. Step 2: Convert to fraction form
    490,707/738,519.75 = 738,519.75/x
  3. Step 3: Cross multiply
    490,707x = 738,519.75 × 738,519.75
  4. Step 4: Simplify right side
    490,707x = 545,411,421,140.06
  5. Step 5: Solve for x
    x = 545,411,421,140.06/490,707
  6. Step 6: Final answer
    x = 1,111,480.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.