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Finding the Third Proportional to 374,557 and 825,465.50

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Solution

The third proportional to 374,557 and 825,465.50 is: 1,819,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,557 : 825,465.50 = 825,465.50 : x
  2. Step 2: Convert to fraction form
    374,557/825,465.50 = 825,465.50/x
  3. Step 3: Cross multiply
    374,557x = 825,465.50 × 825,465.50
  4. Step 4: Simplify right side
    374,557x = 681,393,291,690.25
  5. Step 5: Solve for x
    x = 681,393,291,690.25/374,557
  6. Step 6: Final answer
    x = 1,819,197.86

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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.