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Finding the Third Proportional to 603,304 and 938,064

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Solution

The third proportional to 603,304 and 938,064 is: 1,458,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,304 : 938,064 = 938,064 : x
  2. Step 2: Convert to fraction form
    603,304/938,064 = 938,064/x
  3. Step 3: Cross multiply
    603,304x = 938,064 × 938,064
  4. Step 4: Simplify right side
    603,304x = 879,964,068,096
  5. Step 5: Solve for x
    x = 879,964,068,096/603,304
  6. Step 6: Final answer
    x = 1,458,574.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.