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Finding the Third Proportional to 296,757 and 628,827

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Solution

The third proportional to 296,757 and 628,827 is: 1,332,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,757 : 628,827 = 628,827 : x
  2. Step 2: Convert to fraction form
    296,757/628,827 = 628,827/x
  3. Step 3: Cross multiply
    296,757x = 628,827 × 628,827
  4. Step 4: Simplify right side
    296,757x = 395,423,395,929
  5. Step 5: Solve for x
    x = 395,423,395,929/296,757
  6. Step 6: Final answer
    x = 1,332,482.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.