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Finding the Third Proportional to 497,256.19 and 1,073,745.56

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Solution

The third proportional to 497,256.19 and 1,073,745.56 is: 2,318,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,256.19 : 1,073,745.56 = 1,073,745.56 : x
  2. Step 2: Convert to fraction form
    497,256.19/1,073,745.56 = 1,073,745.56/x
  3. Step 3: Cross multiply
    497,256.19x = 1,073,745.56 × 1,073,745.56
  4. Step 4: Simplify right side
    497,256.19x = 1,152,929,532,988.44
  5. Step 5: Solve for x
    x = 1,152,929,532,988.44/497,256.19
  6. Step 6: Final answer
    x = 2,318,582.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.