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Finding the Third Proportional to 432,530 and 949,260

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Solution

The third proportional to 432,530 and 949,260 is: 2,083,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,530 : 949,260 = 949,260 : x
  2. Step 2: Convert to fraction form
    432,530/949,260 = 949,260/x
  3. Step 3: Cross multiply
    432,530x = 949,260 × 949,260
  4. Step 4: Simplify right side
    432,530x = 901,094,547,600
  5. Step 5: Solve for x
    x = 901,094,547,600/432,530
  6. Step 6: Final answer
    x = 2,083,311.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.