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Finding the Third Proportional to 289,188 and 626,760

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Solution

The third proportional to 289,188 and 626,760 is: 1,358,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,188 : 626,760 = 626,760 : x
  2. Step 2: Convert to fraction form
    289,188/626,760 = 626,760/x
  3. Step 3: Cross multiply
    289,188x = 626,760 × 626,760
  4. Step 4: Simplify right side
    289,188x = 392,828,097,600
  5. Step 5: Solve for x
    x = 392,828,097,600/289,188
  6. Step 6: Final answer
    x = 1,358,383.12

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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.