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Finding the Third Proportional to 344,868 and 532,063.50

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Solution

The third proportional to 344,868 and 532,063.50 is: 820,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,868 : 532,063.50 = 532,063.50 : x
  2. Step 2: Convert to fraction form
    344,868/532,063.50 = 532,063.50/x
  3. Step 3: Cross multiply
    344,868x = 532,063.50 × 532,063.50
  4. Step 4: Simplify right side
    344,868x = 283,091,568,032.25
  5. Step 5: Solve for x
    x = 283,091,568,032.25/344,868
  6. Step 6: Final answer
    x = 820,869.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.