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Finding the Third Proportional to 290,784 and 626,064

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Solution

The third proportional to 290,784 and 626,064 is: 1,347,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,784 : 626,064 = 626,064 : x
  2. Step 2: Convert to fraction form
    290,784/626,064 = 626,064/x
  3. Step 3: Cross multiply
    290,784x = 626,064 × 626,064
  4. Step 4: Simplify right side
    290,784x = 391,956,132,096
  5. Step 5: Solve for x
    x = 391,956,132,096/290,784
  6. Step 6: Final answer
    x = 1,347,928.81

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Why These Related Problems?

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