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Finding the Third Proportional to 460,728 and 711,504

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Solution

The third proportional to 460,728 and 711,504 is: 1,098,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,728 : 711,504 = 711,504 : x
  2. Step 2: Convert to fraction form
    460,728/711,504 = 711,504/x
  3. Step 3: Cross multiply
    460,728x = 711,504 × 711,504
  4. Step 4: Simplify right side
    460,728x = 506,237,942,016
  5. Step 5: Solve for x
    x = 506,237,942,016/460,728
  6. Step 6: Final answer
    x = 1,098,778.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.