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Finding the Third Proportional to 208,605 and 448,658

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Solution

The third proportional to 208,605 and 448,658 is: 964,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,605 : 448,658 = 448,658 : x
  2. Step 2: Convert to fraction form
    208,605/448,658 = 448,658/x
  3. Step 3: Cross multiply
    208,605x = 448,658 × 448,658
  4. Step 4: Simplify right side
    208,605x = 201,294,000,964
  5. Step 5: Solve for x
    x = 201,294,000,964/208,605
  6. Step 6: Final answer
    x = 964,952.91

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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.