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Finding the Third Proportional to 354,226 and 526,323

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Solution

The third proportional to 354,226 and 526,323 is: 782,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,226 : 526,323 = 526,323 : x
  2. Step 2: Convert to fraction form
    354,226/526,323 = 526,323/x
  3. Step 3: Cross multiply
    354,226x = 526,323 × 526,323
  4. Step 4: Simplify right side
    354,226x = 277,015,900,329
  5. Step 5: Solve for x
    x = 277,015,900,329/354,226
  6. Step 6: Final answer
    x = 782,031.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.