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Finding the Third Proportional to 355,083.75 and 499,452.75

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Solution

The third proportional to 355,083.75 and 499,452.75 is: 702,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,083.75 : 499,452.75 = 499,452.75 : x
  2. Step 2: Convert to fraction form
    355,083.75/499,452.75 = 499,452.75/x
  3. Step 3: Cross multiply
    355,083.75x = 499,452.75 × 499,452.75
  4. Step 4: Simplify right side
    355,083.75x = 249,453,049,482.56
  5. Step 5: Solve for x
    x = 249,453,049,482.56/355,083.75
  6. Step 6: Final answer
    x = 702,518.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.