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Finding the Third Proportional to 369,728 and 570,896

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Solution

The third proportional to 369,728 and 570,896 is: 881,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,728 : 570,896 = 570,896 : x
  2. Step 2: Convert to fraction form
    369,728/570,896 = 570,896/x
  3. Step 3: Cross multiply
    369,728x = 570,896 × 570,896
  4. Step 4: Simplify right side
    369,728x = 325,922,242,816
  5. Step 5: Solve for x
    x = 325,922,242,816/369,728
  6. Step 6: Final answer
    x = 881,518.96

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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.