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Finding the Third Proportional to 532,014.75 and 803,540.25

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Solution

The third proportional to 532,014.75 and 803,540.25 is: 1,213,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,014.75 : 803,540.25 = 803,540.25 : x
  2. Step 2: Convert to fraction form
    532,014.75/803,540.25 = 803,540.25/x
  3. Step 3: Cross multiply
    532,014.75x = 803,540.25 × 803,540.25
  4. Step 4: Simplify right side
    532,014.75x = 645,676,933,370.06
  5. Step 5: Solve for x
    x = 645,676,933,370.06/532,014.75
  6. Step 6: Final answer
    x = 1,213,644.80

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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.