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Finding the Third Proportional to 360,648 and 565,728

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Solution

The third proportional to 360,648 and 565,728 is: 887,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,648 : 565,728 = 565,728 : x
  2. Step 2: Convert to fraction form
    360,648/565,728 = 565,728/x
  3. Step 3: Cross multiply
    360,648x = 565,728 × 565,728
  4. Step 4: Simplify right side
    360,648x = 320,048,169,984
  5. Step 5: Solve for x
    x = 320,048,169,984/360,648
  6. Step 6: Final answer
    x = 887,425.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.