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Finding the Third Proportional to 467,807 and 753,394

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Solution

The third proportional to 467,807 and 753,394 is: 1,213,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,807 : 753,394 = 753,394 : x
  2. Step 2: Convert to fraction form
    467,807/753,394 = 753,394/x
  3. Step 3: Cross multiply
    467,807x = 753,394 × 753,394
  4. Step 4: Simplify right side
    467,807x = 567,602,519,236
  5. Step 5: Solve for x
    x = 567,602,519,236/467,807
  6. Step 6: Final answer
    x = 1,213,326.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.