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Finding the Third Proportional to 208,507 and 446,539

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Solution

The third proportional to 208,507 and 446,539 is: 956,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,507 : 446,539 = 446,539 : x
  2. Step 2: Convert to fraction form
    208,507/446,539 = 446,539/x
  3. Step 3: Cross multiply
    208,507x = 446,539 × 446,539
  4. Step 4: Simplify right side
    208,507x = 199,397,078,521
  5. Step 5: Solve for x
    x = 199,397,078,521/208,507
  6. Step 6: Final answer
    x = 956,308.80

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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.