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Finding the Third Proportional to 415,931.63 and 851,566.50

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Solution

The third proportional to 415,931.63 and 851,566.50 is: 1,743,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,931.63 : 851,566.50 = 851,566.50 : x
  2. Step 2: Convert to fraction form
    415,931.63/851,566.50 = 851,566.50/x
  3. Step 3: Cross multiply
    415,931.63x = 851,566.50 × 851,566.50
  4. Step 4: Simplify right side
    415,931.63x = 725,165,503,922.25
  5. Step 5: Solve for x
    x = 725,165,503,922.25/415,931.63
  6. Step 6: Final answer
    x = 1,743,472.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.