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Finding the Third Proportional to 336,960 and 732,968

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Solution

The third proportional to 336,960 and 732,968 is: 1,594,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,960 : 732,968 = 732,968 : x
  2. Step 2: Convert to fraction form
    336,960/732,968 = 732,968/x
  3. Step 3: Cross multiply
    336,960x = 732,968 × 732,968
  4. Step 4: Simplify right side
    336,960x = 537,242,089,024
  5. Step 5: Solve for x
    x = 537,242,089,024/336,960
  6. Step 6: Final answer
    x = 1,594,379.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.