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Finding the Third Proportional to 289,194 and 626,658

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Solution

The third proportional to 289,194 and 626,658 is: 1,357,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,194 : 626,658 = 626,658 : x
  2. Step 2: Convert to fraction form
    289,194/626,658 = 626,658/x
  3. Step 3: Cross multiply
    289,194x = 626,658 × 626,658
  4. Step 4: Simplify right side
    289,194x = 392,700,248,964
  5. Step 5: Solve for x
    x = 392,700,248,964/289,194
  6. Step 6: Final answer
    x = 1,357,912.85

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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.