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Finding the Third Proportional to 305,957 and 662,752

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Solution

The third proportional to 305,957 and 662,752 is: 1,435,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,957 : 662,752 = 662,752 : x
  2. Step 2: Convert to fraction form
    305,957/662,752 = 662,752/x
  3. Step 3: Cross multiply
    305,957x = 662,752 × 662,752
  4. Step 4: Simplify right side
    305,957x = 439,240,213,504
  5. Step 5: Solve for x
    x = 439,240,213,504/305,957
  6. Step 6: Final answer
    x = 1,435,627.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.