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Finding the Third Proportional to 503,574.75 and 1,030,410

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Solution

The third proportional to 503,574.75 and 1,030,410 is: 2,108,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,574.75 : 1,030,410 = 1,030,410 : x
  2. Step 2: Convert to fraction form
    503,574.75/1,030,410 = 1,030,410/x
  3. Step 3: Cross multiply
    503,574.75x = 1,030,410 × 1,030,410
  4. Step 4: Simplify right side
    503,574.75x = 1,061,744,768,100
  5. Step 5: Solve for x
    x = 1,061,744,768,100/503,574.75
  6. Step 6: Final answer
    x = 2,108,415.42

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.