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Finding the Third Proportional to 351,014 and 758,065

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Solution

The third proportional to 351,014 and 758,065 is: 1,637,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,014 : 758,065 = 758,065 : x
  2. Step 2: Convert to fraction form
    351,014/758,065 = 758,065/x
  3. Step 3: Cross multiply
    351,014x = 758,065 × 758,065
  4. Step 4: Simplify right side
    351,014x = 574,662,544,225
  5. Step 5: Solve for x
    x = 574,662,544,225/351,014
  6. Step 6: Final answer
    x = 1,637,149.93

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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.