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Finding the Third Proportional to 289,236 and 625,263

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Solution

The third proportional to 289,236 and 625,263 is: 1,351,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,236 : 625,263 = 625,263 : x
  2. Step 2: Convert to fraction form
    289,236/625,263 = 625,263/x
  3. Step 3: Cross multiply
    289,236x = 625,263 × 625,263
  4. Step 4: Simplify right side
    289,236x = 390,953,819,169
  5. Step 5: Solve for x
    x = 390,953,819,169/289,236
  6. Step 6: Final answer
    x = 1,351,677.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.