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Finding the Third Proportional to 306,495 and 605,130.75

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Solution

The third proportional to 306,495 and 605,130.75 is: 1,194,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,495 : 605,130.75 = 605,130.75 : x
  2. Step 2: Convert to fraction form
    306,495/605,130.75 = 605,130.75/x
  3. Step 3: Cross multiply
    306,495x = 605,130.75 × 605,130.75
  4. Step 4: Simplify right side
    306,495x = 366,183,224,595.56
  5. Step 5: Solve for x
    x = 366,183,224,595.56/306,495
  6. Step 6: Final answer
    x = 1,194,744.53

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.