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Finding the Third Proportional to 289,884 and 417,527.50

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Solution

The third proportional to 289,884 and 417,527.50 is: 601,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,884 : 417,527.50 = 417,527.50 : x
  2. Step 2: Convert to fraction form
    289,884/417,527.50 = 417,527.50/x
  3. Step 3: Cross multiply
    289,884x = 417,527.50 × 417,527.50
  4. Step 4: Simplify right side
    289,884x = 174,329,213,256.25
  5. Step 5: Solve for x
    x = 174,329,213,256.25/289,884
  6. Step 6: Final answer
    x = 601,375.77

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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.