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Finding the Third Proportional to 348,030.75 and 759,979.50

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Solution

The third proportional to 348,030.75 and 759,979.50 is: 1,659,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,030.75 : 759,979.50 = 759,979.50 : x
  2. Step 2: Convert to fraction form
    348,030.75/759,979.50 = 759,979.50/x
  3. Step 3: Cross multiply
    348,030.75x = 759,979.50 × 759,979.50
  4. Step 4: Simplify right side
    348,030.75x = 577,568,840,420.25
  5. Step 5: Solve for x
    x = 577,568,840,420.25/348,030.75
  6. Step 6: Final answer
    x = 1,659,533.94

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Why These Related Problems?

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