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Finding the Third Proportional to 364,336.50 and 509,481

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Solution

The third proportional to 364,336.50 and 509,481 is: 712,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,336.50 : 509,481 = 509,481 : x
  2. Step 2: Convert to fraction form
    364,336.50/509,481 = 509,481/x
  3. Step 3: Cross multiply
    364,336.50x = 509,481 × 509,481
  4. Step 4: Simplify right side
    364,336.50x = 259,570,889,361
  5. Step 5: Solve for x
    x = 259,570,889,361/364,336.50
  6. Step 6: Final answer
    x = 712,448.22

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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.