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Finding the Third Proportional to 497,803.50 and 1,086,003

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Solution

The third proportional to 497,803.50 and 1,086,003 is: 2,369,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,803.50 : 1,086,003 = 1,086,003 : x
  2. Step 2: Convert to fraction form
    497,803.50/1,086,003 = 1,086,003/x
  3. Step 3: Cross multiply
    497,803.50x = 1,086,003 × 1,086,003
  4. Step 4: Simplify right side
    497,803.50x = 1,179,402,516,009
  5. Step 5: Solve for x
    x = 1,179,402,516,009/497,803.50
  6. Step 6: Final answer
    x = 2,369,212.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.