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Finding the Third Proportional to 374,539 and 825,425.13

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Solution

The third proportional to 374,539 and 825,425.13 is: 1,819,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,539 : 825,425.13 = 825,425.13 : x
  2. Step 2: Convert to fraction form
    374,539/825,425.13 = 825,425.13/x
  3. Step 3: Cross multiply
    374,539x = 825,425.13 × 825,425.13
  4. Step 4: Simplify right side
    374,539x = 681,326,636,981.27
  5. Step 5: Solve for x
    x = 681,326,636,981.27/374,539
  6. Step 6: Final answer
    x = 1,819,107.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.