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Finding the Third Proportional to 355,074.75 and 499,439.25

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Solution

The third proportional to 355,074.75 and 499,439.25 is: 702,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,074.75 : 499,439.25 = 499,439.25 : x
  2. Step 2: Convert to fraction form
    355,074.75/499,439.25 = 499,439.25/x
  3. Step 3: Cross multiply
    355,074.75x = 499,439.25 × 499,439.25
  4. Step 4: Simplify right side
    355,074.75x = 249,439,564,440.56
  5. Step 5: Solve for x
    x = 249,439,564,440.56/355,074.75
  6. Step 6: Final answer
    x = 702,498.74

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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.