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Finding the Third Proportional to 306,430.59 and 664,529.06

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Solution

The third proportional to 306,430.59 and 664,529.06 is: 1,441,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,430.59 : 664,529.06 = 664,529.06 : x
  2. Step 2: Convert to fraction form
    306,430.59/664,529.06 = 664,529.06/x
  3. Step 3: Cross multiply
    306,430.59x = 664,529.06 × 664,529.06
  4. Step 4: Simplify right side
    306,430.59x = 441,598,874,907.13
  5. Step 5: Solve for x
    x = 441,598,874,907.13/306,430.59
  6. Step 6: Final answer
    x = 1,441,105.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.