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Finding the Third Proportional to 298,936 and 457,160

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Solution

The third proportional to 298,936 and 457,160 is: 699,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,936 : 457,160 = 457,160 : x
  2. Step 2: Convert to fraction form
    298,936/457,160 = 457,160/x
  3. Step 3: Cross multiply
    298,936x = 457,160 × 457,160
  4. Step 4: Simplify right side
    298,936x = 208,995,265,600
  5. Step 5: Solve for x
    x = 208,995,265,600/298,936
  6. Step 6: Final answer
    x = 699,130.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.