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Finding the Third Proportional to 235,674 and 512,332

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Solution

The third proportional to 235,674 and 512,332 is: 1,113,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,674 : 512,332 = 512,332 : x
  2. Step 2: Convert to fraction form
    235,674/512,332 = 512,332/x
  3. Step 3: Cross multiply
    235,674x = 512,332 × 512,332
  4. Step 4: Simplify right side
    235,674x = 262,484,078,224
  5. Step 5: Solve for x
    x = 262,484,078,224/235,674
  6. Step 6: Final answer
    x = 1,113,759.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.