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Finding the Third Proportional to 424,029.94 and 655,730.44

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Solution

The third proportional to 424,029.94 and 655,730.44 is: 1,014,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,029.94 : 655,730.44 = 655,730.44 : x
  2. Step 2: Convert to fraction form
    424,029.94/655,730.44 = 655,730.44/x
  3. Step 3: Cross multiply
    424,029.94x = 655,730.44 × 655,730.44
  4. Step 4: Simplify right side
    424,029.94x = 429,982,406,663.94
  5. Step 5: Solve for x
    x = 429,982,406,663.94/424,029.94
  6. Step 6: Final answer
    x = 1,014,037.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.