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Finding the Third Proportional to 350,133 and 509,889

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Solution

The third proportional to 350,133 and 509,889 is: 742,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,133 : 509,889 = 509,889 : x
  2. Step 2: Convert to fraction form
    350,133/509,889 = 509,889/x
  3. Step 3: Cross multiply
    350,133x = 509,889 × 509,889
  4. Step 4: Simplify right side
    350,133x = 259,986,792,321
  5. Step 5: Solve for x
    x = 259,986,792,321/350,133
  6. Step 6: Final answer
    x = 742,537.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.