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Finding the Third Proportional to 229,394.81 and 493,943.63

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Solution

The third proportional to 229,394.81 and 493,943.63 is: 1,063,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,394.81 : 493,943.63 = 493,943.63 : x
  2. Step 2: Convert to fraction form
    229,394.81/493,943.63 = 493,943.63/x
  3. Step 3: Cross multiply
    229,394.81x = 493,943.63 × 493,943.63
  4. Step 4: Simplify right side
    229,394.81x = 243,980,304,678.14
  5. Step 5: Solve for x
    x = 243,980,304,678.14/229,394.81
  6. Step 6: Final answer
    x = 1,063,582.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.