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Finding the Third Proportional to 259,674 and 388,473

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Solution

The third proportional to 259,674 and 388,473 is: 581,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,674 : 388,473 = 388,473 : x
  2. Step 2: Convert to fraction form
    259,674/388,473 = 388,473/x
  3. Step 3: Cross multiply
    259,674x = 388,473 × 388,473
  4. Step 4: Simplify right side
    259,674x = 150,911,271,729
  5. Step 5: Solve for x
    x = 150,911,271,729/259,674
  6. Step 6: Final answer
    x = 581,156.65

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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.