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Finding the Third Proportional to 289,789 and 622,428

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Solution

The third proportional to 289,789 and 622,428 is: 1,336,892.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,789 : 622,428 = 622,428 : x
  2. Step 2: Convert to fraction form
    289,789/622,428 = 622,428/x
  3. Step 3: Cross multiply
    289,789x = 622,428 × 622,428
  4. Step 4: Simplify right side
    289,789x = 387,416,615,184
  5. Step 5: Solve for x
    x = 387,416,615,184/289,789
  6. Step 6: Final answer
    x = 1,336,892.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.