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Finding the Third Proportional to 374,559 and 825,470

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Solution

The third proportional to 374,559 and 825,470 is: 1,819,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,559 : 825,470 = 825,470 : x
  2. Step 2: Convert to fraction form
    374,559/825,470 = 825,470/x
  3. Step 3: Cross multiply
    374,559x = 825,470 × 825,470
  4. Step 4: Simplify right side
    374,559x = 681,400,720,900
  5. Step 5: Solve for x
    x = 681,400,720,900/374,559
  6. Step 6: Final answer
    x = 1,819,207.98

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