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Finding the Third Proportional to 350,068.08 and 712,977.19

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Solution

The third proportional to 350,068.08 and 712,977.19 is: 1,452,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,068.08 : 712,977.19 = 712,977.19 : x
  2. Step 2: Convert to fraction form
    350,068.08/712,977.19 = 712,977.19/x
  3. Step 3: Cross multiply
    350,068.08x = 712,977.19 × 712,977.19
  4. Step 4: Simplify right side
    350,068.08x = 508,336,469,895.41
  5. Step 5: Solve for x
    x = 508,336,469,895.41/350,068.08
  6. Step 6: Final answer
    x = 1,452,107.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.