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Finding the Third Proportional to 289,546.50 and 417,705.75

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Solution

The third proportional to 289,546.50 and 417,705.75 is: 602,590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,546.50 : 417,705.75 = 417,705.75 : x
  2. Step 2: Convert to fraction form
    289,546.50/417,705.75 = 417,705.75/x
  3. Step 3: Cross multiply
    289,546.50x = 417,705.75 × 417,705.75
  4. Step 4: Simplify right side
    289,546.50x = 174,478,093,583.06
  5. Step 5: Solve for x
    x = 174,478,093,583.06/289,546.50
  6. Step 6: Final answer
    x = 602,590.93

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Why These Related Problems?

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