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Finding the Third Proportional to 208,537 and 446,594

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Solution

The third proportional to 208,537 and 446,594 is: 956,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,537 : 446,594 = 446,594 : x
  2. Step 2: Convert to fraction form
    208,537/446,594 = 446,594/x
  3. Step 3: Cross multiply
    208,537x = 446,594 × 446,594
  4. Step 4: Simplify right side
    208,537x = 199,446,200,836
  5. Step 5: Solve for x
    x = 199,446,200,836/208,537
  6. Step 6: Final answer
    x = 956,406.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.