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Finding the Third Proportional to 430,941 and 916,350

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Solution

The third proportional to 430,941 and 916,350 is: 1,948,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,941 : 916,350 = 916,350 : x
  2. Step 2: Convert to fraction form
    430,941/916,350 = 916,350/x
  3. Step 3: Cross multiply
    430,941x = 916,350 × 916,350
  4. Step 4: Simplify right side
    430,941x = 839,697,322,500
  5. Step 5: Solve for x
    x = 839,697,322,500/430,941
  6. Step 6: Final answer
    x = 1,948,520.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.