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Finding the Third Proportional to 288,076 and 628,152

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Solution

The third proportional to 288,076 and 628,152 is: 1,369,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,076 : 628,152 = 628,152 : x
  2. Step 2: Convert to fraction form
    288,076/628,152 = 628,152/x
  3. Step 3: Cross multiply
    288,076x = 628,152 × 628,152
  4. Step 4: Simplify right side
    288,076x = 394,574,935,104
  5. Step 5: Solve for x
    x = 394,574,935,104/288,076
  6. Step 6: Final answer
    x = 1,369,690.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.