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Finding the Third Proportional to 208,644 and 446,810

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Solution

The third proportional to 208,644 and 446,810 is: 956,841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,644 : 446,810 = 446,810 : x
  2. Step 2: Convert to fraction form
    208,644/446,810 = 446,810/x
  3. Step 3: Cross multiply
    208,644x = 446,810 × 446,810
  4. Step 4: Simplify right side
    208,644x = 199,639,176,100
  5. Step 5: Solve for x
    x = 199,639,176,100/208,644
  6. Step 6: Final answer
    x = 956,841.20

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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.