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Finding the Third Proportional to 351,491 and 532,166.50

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Solution

The third proportional to 351,491 and 532,166.50 is: 805,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,491 : 532,166.50 = 532,166.50 : x
  2. Step 2: Convert to fraction form
    351,491/532,166.50 = 532,166.50/x
  3. Step 3: Cross multiply
    351,491x = 532,166.50 × 532,166.50
  4. Step 4: Simplify right side
    351,491x = 283,201,183,722.25
  5. Step 5: Solve for x
    x = 283,201,183,722.25/351,491
  6. Step 6: Final answer
    x = 805,713.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.