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Finding the Third Proportional to 401,260 and 532,662

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Solution

The third proportional to 401,260 and 532,662 is: 707,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,260 : 532,662 = 532,662 : x
  2. Step 2: Convert to fraction form
    401,260/532,662 = 532,662/x
  3. Step 3: Cross multiply
    401,260x = 532,662 × 532,662
  4. Step 4: Simplify right side
    401,260x = 283,728,806,244
  5. Step 5: Solve for x
    x = 283,728,806,244/401,260
  6. Step 6: Final answer
    x = 707,094.67

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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.