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Finding the Third Proportional to 305,833 and 662,065

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Solution

The third proportional to 305,833 and 662,065 is: 1,433,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,833 : 662,065 = 662,065 : x
  2. Step 2: Convert to fraction form
    305,833/662,065 = 662,065/x
  3. Step 3: Cross multiply
    305,833x = 662,065 × 662,065
  4. Step 4: Simplify right side
    305,833x = 438,330,064,225
  5. Step 5: Solve for x
    x = 438,330,064,225/305,833
  6. Step 6: Final answer
    x = 1,433,233.38

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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.