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Finding the Third Proportional to 306,848.63 and 656,343.75

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Solution

The third proportional to 306,848.63 and 656,343.75 is: 1,403,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,848.63 : 656,343.75 = 656,343.75 : x
  2. Step 2: Convert to fraction form
    306,848.63/656,343.75 = 656,343.75/x
  3. Step 3: Cross multiply
    306,848.63x = 656,343.75 × 656,343.75
  4. Step 4: Simplify right side
    306,848.63x = 430,787,118,164.06
  5. Step 5: Solve for x
    x = 430,787,118,164.06/306,848.63
  6. Step 6: Final answer
    x = 1,403,907.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.