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Finding the Third Proportional to 457,339.50 and 950,968.69

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Solution

The third proportional to 457,339.50 and 950,968.69 is: 1,977,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,339.50 : 950,968.69 = 950,968.69 : x
  2. Step 2: Convert to fraction form
    457,339.50/950,968.69 = 950,968.69/x
  3. Step 3: Cross multiply
    457,339.50x = 950,968.69 × 950,968.69
  4. Step 4: Simplify right side
    457,339.50x = 904,341,444,605.47
  5. Step 5: Solve for x
    x = 904,341,444,605.47/457,339.50
  6. Step 6: Final answer
    x = 1,977,396.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.