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Finding the Third Proportional to 321,050 and 759,239

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Solution

The third proportional to 321,050 and 759,239 is: 1,795,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,050 : 759,239 = 759,239 : x
  2. Step 2: Convert to fraction form
    321,050/759,239 = 759,239/x
  3. Step 3: Cross multiply
    321,050x = 759,239 × 759,239
  4. Step 4: Simplify right side
    321,050x = 576,443,859,121
  5. Step 5: Solve for x
    x = 576,443,859,121/321,050
  6. Step 6: Final answer
    x = 1,795,495.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.