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Finding the Third Proportional to 350,192 and 509,968

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Solution

The third proportional to 350,192 and 509,968 is: 742,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,192 : 509,968 = 509,968 : x
  2. Step 2: Convert to fraction form
    350,192/509,968 = 509,968/x
  3. Step 3: Cross multiply
    350,192x = 509,968 × 509,968
  4. Step 4: Simplify right side
    350,192x = 260,067,361,024
  5. Step 5: Solve for x
    x = 260,067,361,024/350,192
  6. Step 6: Final answer
    x = 742,642.21

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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.