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Finding the Third Proportional to 351,040 and 758,014

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Solution

The third proportional to 351,040 and 758,014 is: 1,636,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,040 : 758,014 = 758,014 : x
  2. Step 2: Convert to fraction form
    351,040/758,014 = 758,014/x
  3. Step 3: Cross multiply
    351,040x = 758,014 × 758,014
  4. Step 4: Simplify right side
    351,040x = 574,585,224,196
  5. Step 5: Solve for x
    x = 574,585,224,196/351,040
  6. Step 6: Final answer
    x = 1,636,808.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.