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Finding the Third Proportional to 263,934 and 615,960

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Solution

The third proportional to 263,934 and 615,960 is: 1,437,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,934 : 615,960 = 615,960 : x
  2. Step 2: Convert to fraction form
    263,934/615,960 = 615,960/x
  3. Step 3: Cross multiply
    263,934x = 615,960 × 615,960
  4. Step 4: Simplify right side
    263,934x = 379,406,721,600
  5. Step 5: Solve for x
    x = 379,406,721,600/263,934
  6. Step 6: Final answer
    x = 1,437,506.05

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.