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Finding the Third Proportional to 411,179.63 and 656,137.13

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Solution

The third proportional to 411,179.63 and 656,137.13 is: 1,047,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,179.63 : 656,137.13 = 656,137.13 : x
  2. Step 2: Convert to fraction form
    411,179.63/656,137.13 = 656,137.13/x
  3. Step 3: Cross multiply
    411,179.63x = 656,137.13 × 656,137.13
  4. Step 4: Simplify right side
    411,179.63x = 430,515,926,803.27
  5. Step 5: Solve for x
    x = 430,515,926,803.27/411,179.63
  6. Step 6: Final answer
    x = 1,047,026.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.