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Finding the Third Proportional to 295,884 and 650,700

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Solution

The third proportional to 295,884 and 650,700 is: 1,431,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,884 : 650,700 = 650,700 : x
  2. Step 2: Convert to fraction form
    295,884/650,700 = 650,700/x
  3. Step 3: Cross multiply
    295,884x = 650,700 × 650,700
  4. Step 4: Simplify right side
    295,884x = 423,410,490,000
  5. Step 5: Solve for x
    x = 423,410,490,000/295,884
  6. Step 6: Final answer
    x = 1,431,001.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.