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Finding the Third Proportional to 289,606.64 and 417,802.43

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Solution

The third proportional to 289,606.64 and 417,802.43 is: 602,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,606.64 : 417,802.43 = 417,802.43 : x
  2. Step 2: Convert to fraction form
    289,606.64/417,802.43 = 417,802.43/x
  3. Step 3: Cross multiply
    289,606.64x = 417,802.43 × 417,802.43
  4. Step 4: Simplify right side
    289,606.64x = 174,558,870,252.78
  5. Step 5: Solve for x
    x = 174,558,870,252.78/289,606.64
  6. Step 6: Final answer
    x = 602,744.71

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.