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Finding the Third Proportional to 354,639 and 532,323

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Solution

The third proportional to 354,639 and 532,323 is: 799,031.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,639 : 532,323 = 532,323 : x
  2. Step 2: Convert to fraction form
    354,639/532,323 = 532,323/x
  3. Step 3: Cross multiply
    354,639x = 532,323 × 532,323
  4. Step 4: Simplify right side
    354,639x = 283,367,776,329
  5. Step 5: Solve for x
    x = 283,367,776,329/354,639
  6. Step 6: Final answer
    x = 799,031.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.