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Finding the Third Proportional to 355,056.25 and 499,410.25

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Solution

The third proportional to 355,056.25 and 499,410.25 is: 702,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,056.25 : 499,410.25 = 499,410.25 : x
  2. Step 2: Convert to fraction form
    355,056.25/499,410.25 = 499,410.25/x
  3. Step 3: Cross multiply
    355,056.25x = 499,410.25 × 499,410.25
  4. Step 4: Simplify right side
    355,056.25x = 249,410,597,805.06
  5. Step 5: Solve for x
    x = 249,410,597,805.06/355,056.25
  6. Step 6: Final answer
    x = 702,453.76

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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.