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Finding the Third Proportional to 329,485.50 and 719,385.75

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Solution

The third proportional to 329,485.50 and 719,385.75 is: 1,570,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,485.50 : 719,385.75 = 719,385.75 : x
  2. Step 2: Convert to fraction form
    329,485.50/719,385.75 = 719,385.75/x
  3. Step 3: Cross multiply
    329,485.50x = 719,385.75 × 719,385.75
  4. Step 4: Simplify right side
    329,485.50x = 517,515,857,303.06
  5. Step 5: Solve for x
    x = 517,515,857,303.06/329,485.50
  6. Step 6: Final answer
    x = 1,570,678.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.