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Finding the Third Proportional to 334,493.30 and 509,582.39

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Solution

The third proportional to 334,493.30 and 509,582.39 is: 776,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,493.30 : 509,582.39 = 509,582.39 : x
  2. Step 2: Convert to fraction form
    334,493.30/509,582.39 = 509,582.39/x
  3. Step 3: Cross multiply
    334,493.30x = 509,582.39 × 509,582.39
  4. Step 4: Simplify right side
    334,493.30x = 259,674,212,835.09
  5. Step 5: Solve for x
    x = 259,674,212,835.09/334,493.30
  6. Step 6: Final answer
    x = 776,321.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.