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Finding the Third Proportional to 362,271 and 532,321

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Solution

The third proportional to 362,271 and 532,321 is: 782,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,271 : 532,321 = 532,321 : x
  2. Step 2: Convert to fraction form
    362,271/532,321 = 532,321/x
  3. Step 3: Cross multiply
    362,271x = 532,321 × 532,321
  4. Step 4: Simplify right side
    362,271x = 283,365,647,041
  5. Step 5: Solve for x
    x = 283,365,647,041/362,271
  6. Step 6: Final answer
    x = 782,192.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.