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Finding the Third Proportional to 259,758 and 390,399

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Solution

The third proportional to 259,758 and 390,399 is: 586,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,758 : 390,399 = 390,399 : x
  2. Step 2: Convert to fraction form
    259,758/390,399 = 390,399/x
  3. Step 3: Cross multiply
    259,758x = 390,399 × 390,399
  4. Step 4: Simplify right side
    259,758x = 152,411,379,201
  5. Step 5: Solve for x
    x = 152,411,379,201/259,758
  6. Step 6: Final answer
    x = 586,743.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.