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Finding the Third Proportional to 401,112 and 532,440

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Solution

The third proportional to 401,112 and 532,440 is: 706,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,112 : 532,440 = 532,440 : x
  2. Step 2: Convert to fraction form
    401,112/532,440 = 532,440/x
  3. Step 3: Cross multiply
    401,112x = 532,440 × 532,440
  4. Step 4: Simplify right side
    401,112x = 283,492,353,600
  5. Step 5: Solve for x
    x = 283,492,353,600/401,112
  6. Step 6: Final answer
    x = 706,766.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.