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Finding the Third Proportional to 446,156.44 and 679,689.56

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Solution

The third proportional to 446,156.44 and 679,689.56 is: 1,035,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,156.44 : 679,689.56 = 679,689.56 : x
  2. Step 2: Convert to fraction form
    446,156.44/679,689.56 = 679,689.56/x
  3. Step 3: Cross multiply
    446,156.44x = 679,689.56 × 679,689.56
  4. Step 4: Simplify right side
    446,156.44x = 461,977,901,371.44
  5. Step 5: Solve for x
    x = 461,977,901,371.44/446,156.44
  6. Step 6: Final answer
    x = 1,035,461.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.