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Finding the Third Proportional to 208,597 and 448,633

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Solution

The third proportional to 208,597 and 448,633 is: 964,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,597 : 448,633 = 448,633 : x
  2. Step 2: Convert to fraction form
    208,597/448,633 = 448,633/x
  3. Step 3: Cross multiply
    208,597x = 448,633 × 448,633
  4. Step 4: Simplify right side
    208,597x = 201,271,568,689
  5. Step 5: Solve for x
    x = 201,271,568,689/208,597
  6. Step 6: Final answer
    x = 964,882.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.