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Finding the Third Proportional to 428,571 and 640,752

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Solution

The third proportional to 428,571 and 640,752 is: 957,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,571 : 640,752 = 640,752 : x
  2. Step 2: Convert to fraction form
    428,571/640,752 = 640,752/x
  3. Step 3: Cross multiply
    428,571x = 640,752 × 640,752
  4. Step 4: Simplify right side
    428,571x = 410,563,125,504
  5. Step 5: Solve for x
    x = 410,563,125,504/428,571
  6. Step 6: Final answer
    x = 957,981.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.