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Finding the Third Proportional to 476,779.50 and 720,029.25

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Solution

The third proportional to 476,779.50 and 720,029.25 is: 1,087,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,779.50 : 720,029.25 = 720,029.25 : x
  2. Step 2: Convert to fraction form
    476,779.50/720,029.25 = 720,029.25/x
  3. Step 3: Cross multiply
    476,779.50x = 720,029.25 × 720,029.25
  4. Step 4: Simplify right side
    476,779.50x = 518,442,120,855.56
  5. Step 5: Solve for x
    x = 518,442,120,855.56/476,779.50
  6. Step 6: Final answer
    x = 1,087,383.41

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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.