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Finding the Third Proportional to 467,779 and 753,347

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Solution

The third proportional to 467,779 and 753,347 is: 1,213,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,779 : 753,347 = 753,347 : x
  2. Step 2: Convert to fraction form
    467,779/753,347 = 753,347/x
  3. Step 3: Cross multiply
    467,779x = 753,347 × 753,347
  4. Step 4: Simplify right side
    467,779x = 567,531,702,409
  5. Step 5: Solve for x
    x = 567,531,702,409/467,779
  6. Step 6: Final answer
    x = 1,213,247.50

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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.