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Finding the Third Proportional to 513,563.25 and 798,377.63

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Solution

The third proportional to 513,563.25 and 798,377.63 is: 1,241,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,563.25 : 798,377.63 = 798,377.63 : x
  2. Step 2: Convert to fraction form
    513,563.25/798,377.63 = 798,377.63/x
  3. Step 3: Cross multiply
    513,563.25x = 798,377.63 × 798,377.63
  4. Step 4: Simplify right side
    513,563.25x = 637,406,832,100.64
  5. Step 5: Solve for x
    x = 637,406,832,100.64/513,563.25
  6. Step 6: Final answer
    x = 1,241,145.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.