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Finding the Third Proportional to 292,003.88 and 647,417.25

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Solution

The third proportional to 292,003.88 and 647,417.25 is: 1,435,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,003.88 : 647,417.25 = 647,417.25 : x
  2. Step 2: Convert to fraction form
    292,003.88/647,417.25 = 647,417.25/x
  3. Step 3: Cross multiply
    292,003.88x = 647,417.25 × 647,417.25
  4. Step 4: Simplify right side
    292,003.88x = 419,149,095,597.56
  5. Step 5: Solve for x
    x = 419,149,095,597.56/292,003.88
  6. Step 6: Final answer
    x = 1,435,423.06

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.