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Finding the Third Proportional to 356,928 and 573,984

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Solution

The third proportional to 356,928 and 573,984 is: 923,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,928 : 573,984 = 573,984 : x
  2. Step 2: Convert to fraction form
    356,928/573,984 = 573,984/x
  3. Step 3: Cross multiply
    356,928x = 573,984 × 573,984
  4. Step 4: Simplify right side
    356,928x = 329,457,632,256
  5. Step 5: Solve for x
    x = 329,457,632,256/356,928
  6. Step 6: Final answer
    x = 923,036.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.