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Finding the Third Proportional to 289,166 and 626,608

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Solution

The third proportional to 289,166 and 626,608 is: 1,357,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,166 : 626,608 = 626,608 : x
  2. Step 2: Convert to fraction form
    289,166/626,608 = 626,608/x
  3. Step 3: Cross multiply
    289,166x = 626,608 × 626,608
  4. Step 4: Simplify right side
    289,166x = 392,637,585,664
  5. Step 5: Solve for x
    x = 392,637,585,664/289,166
  6. Step 6: Final answer
    x = 1,357,827.63

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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.