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Finding the Third Proportional to 229,465.38 and 497,067.13

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Solution

The third proportional to 229,465.38 and 497,067.13 is: 1,076,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,465.38 : 497,067.13 = 497,067.13 : x
  2. Step 2: Convert to fraction form
    229,465.38/497,067.13 = 497,067.13/x
  3. Step 3: Cross multiply
    229,465.38x = 497,067.13 × 497,067.13
  4. Step 4: Simplify right side
    229,465.38x = 247,075,726,755.77
  5. Step 5: Solve for x
    x = 247,075,726,755.77/229,465.38
  6. Step 6: Final answer
    x = 1,076,745.14

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Why These Related Problems?

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