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Finding the Third Proportional to 410,043.94 and 577,175.63

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Solution

The third proportional to 410,043.94 and 577,175.63 is: 812,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,043.94 : 577,175.63 = 577,175.63 : x
  2. Step 2: Convert to fraction form
    410,043.94/577,175.63 = 577,175.63/x
  3. Step 3: Cross multiply
    410,043.94x = 577,175.63 × 577,175.63
  4. Step 4: Simplify right side
    410,043.94x = 333,131,702,094.14
  5. Step 5: Solve for x
    x = 333,131,702,094.14/410,043.94
  6. Step 6: Final answer
    x = 812,429.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.