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Finding the Third Proportional to 360,960 and 529,128

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Solution

The third proportional to 360,960 and 529,128 is: 775,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,960 : 529,128 = 529,128 : x
  2. Step 2: Convert to fraction form
    360,960/529,128 = 529,128/x
  3. Step 3: Cross multiply
    360,960x = 529,128 × 529,128
  4. Step 4: Simplify right side
    360,960x = 279,976,440,384
  5. Step 5: Solve for x
    x = 279,976,440,384/360,960
  6. Step 6: Final answer
    x = 775,643.95

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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.