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Finding the Third Proportional to 535,764 and 727,638

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Solution

The third proportional to 535,764 and 727,638 is: 988,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,764 : 727,638 = 727,638 : x
  2. Step 2: Convert to fraction form
    535,764/727,638 = 727,638/x
  3. Step 3: Cross multiply
    535,764x = 727,638 × 727,638
  4. Step 4: Simplify right side
    535,764x = 529,457,059,044
  5. Step 5: Solve for x
    x = 529,457,059,044/535,764
  6. Step 6: Final answer
    x = 988,228.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.