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Finding the Third Proportional to 280,532 and 423,710

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Solution

The third proportional to 280,532 and 423,710 is: 639,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,532 : 423,710 = 423,710 : x
  2. Step 2: Convert to fraction form
    280,532/423,710 = 423,710/x
  3. Step 3: Cross multiply
    280,532x = 423,710 × 423,710
  4. Step 4: Simplify right side
    280,532x = 179,530,164,100
  5. Step 5: Solve for x
    x = 179,530,164,100/280,532
  6. Step 6: Final answer
    x = 639,963.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.