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Finding the Third Proportional to 229,448.25 and 497,025

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Solution

The third proportional to 229,448.25 and 497,025 is: 1,076,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,448.25 : 497,025 = 497,025 : x
  2. Step 2: Convert to fraction form
    229,448.25/497,025 = 497,025/x
  3. Step 3: Cross multiply
    229,448.25x = 497,025 × 497,025
  4. Step 4: Simplify right side
    229,448.25x = 247,033,850,625
  5. Step 5: Solve for x
    x = 247,033,850,625/229,448.25
  6. Step 6: Final answer
    x = 1,076,642.99

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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.