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Finding the Third Proportional to 296,763.50 and 628,840

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Solution

The third proportional to 296,763.50 and 628,840 is: 1,332,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,763.50 : 628,840 = 628,840 : x
  2. Step 2: Convert to fraction form
    296,763.50/628,840 = 628,840/x
  3. Step 3: Cross multiply
    296,763.50x = 628,840 × 628,840
  4. Step 4: Simplify right side
    296,763.50x = 395,439,745,600
  5. Step 5: Solve for x
    x = 395,439,745,600/296,763.50
  6. Step 6: Final answer
    x = 1,332,508.03

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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.