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Finding the Third Proportional to 354,758.50 and 535,825.50

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Solution

The third proportional to 354,758.50 and 535,825.50 is: 809,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,758.50 : 535,825.50 = 535,825.50 : x
  2. Step 2: Convert to fraction form
    354,758.50/535,825.50 = 535,825.50/x
  3. Step 3: Cross multiply
    354,758.50x = 535,825.50 × 535,825.50
  4. Step 4: Simplify right side
    354,758.50x = 287,108,966,450.25
  5. Step 5: Solve for x
    x = 287,108,966,450.25/354,758.50
  6. Step 6: Final answer
    x = 809,308.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.