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Finding the Third Proportional to 297,761 and 461,178

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Solution

The third proportional to 297,761 and 461,178 is: 714,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,761 : 461,178 = 461,178 : x
  2. Step 2: Convert to fraction form
    297,761/461,178 = 461,178/x
  3. Step 3: Cross multiply
    297,761x = 461,178 × 461,178
  4. Step 4: Simplify right side
    297,761x = 212,685,147,684
  5. Step 5: Solve for x
    x = 212,685,147,684/297,761
  6. Step 6: Final answer
    x = 714,281.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.