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Finding the Third Proportional to 492,225.75 and 759,339

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Solution

The third proportional to 492,225.75 and 759,339 is: 1,171,405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,225.75 : 759,339 = 759,339 : x
  2. Step 2: Convert to fraction form
    492,225.75/759,339 = 759,339/x
  3. Step 3: Cross multiply
    492,225.75x = 759,339 × 759,339
  4. Step 4: Simplify right side
    492,225.75x = 576,595,716,921
  5. Step 5: Solve for x
    x = 576,595,716,921/492,225.75
  6. Step 6: Final answer
    x = 1,171,405.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.