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Finding the Third Proportional to 432,548 and 949,300

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Solution

The third proportional to 432,548 and 949,300 is: 2,083,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,548 : 949,300 = 949,300 : x
  2. Step 2: Convert to fraction form
    432,548/949,300 = 949,300/x
  3. Step 3: Cross multiply
    432,548x = 949,300 × 949,300
  4. Step 4: Simplify right side
    432,548x = 901,170,490,000
  5. Step 5: Solve for x
    x = 901,170,490,000/432,548
  6. Step 6: Final answer
    x = 2,083,399.97

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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.