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Finding the Third Proportional to 432,064 and 633,504

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Solution

The third proportional to 432,064 and 633,504 is: 928,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,064 : 633,504 = 633,504 : x
  2. Step 2: Convert to fraction form
    432,064/633,504 = 633,504/x
  3. Step 3: Cross multiply
    432,064x = 633,504 × 633,504
  4. Step 4: Simplify right side
    432,064x = 401,327,318,016
  5. Step 5: Solve for x
    x = 401,327,318,016/432,064
  6. Step 6: Final answer
    x = 928,860.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.