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Finding the Third Proportional to 364,321.75 and 509,462

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Solution

The third proportional to 364,321.75 and 509,462 is: 712,423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,321.75 : 509,462 = 509,462 : x
  2. Step 2: Convert to fraction form
    364,321.75/509,462 = 509,462/x
  3. Step 3: Cross multiply
    364,321.75x = 509,462 × 509,462
  4. Step 4: Simplify right side
    364,321.75x = 259,551,529,444
  5. Step 5: Solve for x
    x = 259,551,529,444/364,321.75
  6. Step 6: Final answer
    x = 712,423.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.