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Finding the Third Proportional to 229,465.41 and 497,067.19

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Solution

The third proportional to 229,465.41 and 497,067.19 is: 1,076,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,465.41 : 497,067.19 = 497,067.19 : x
  2. Step 2: Convert to fraction form
    229,465.41/497,067.19 = 497,067.19/x
  3. Step 3: Cross multiply
    229,465.41x = 497,067.19 × 497,067.19
  4. Step 4: Simplify right side
    229,465.41x = 247,075,788,889.16
  5. Step 5: Solve for x
    x = 247,075,788,889.16/229,465.41
  6. Step 6: Final answer
    x = 1,076,745.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.