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Finding the Third Proportional to 342,022.50 and 749,715.75

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Solution

The third proportional to 342,022.50 and 749,715.75 is: 1,643,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,022.50 : 749,715.75 = 749,715.75 : x
  2. Step 2: Convert to fraction form
    342,022.50/749,715.75 = 749,715.75/x
  3. Step 3: Cross multiply
    342,022.50x = 749,715.75 × 749,715.75
  4. Step 4: Simplify right side
    342,022.50x = 562,073,705,798.06
  5. Step 5: Solve for x
    x = 562,073,705,798.06/342,022.50
  6. Step 6: Final answer
    x = 1,643,382.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.