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Finding the Third Proportional to 535,492 and 713,910

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Solution

The third proportional to 535,492 and 713,910 is: 951,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,492 : 713,910 = 713,910 : x
  2. Step 2: Convert to fraction form
    535,492/713,910 = 713,910/x
  3. Step 3: Cross multiply
    535,492x = 713,910 × 713,910
  4. Step 4: Simplify right side
    535,492x = 509,667,488,100
  5. Step 5: Solve for x
    x = 509,667,488,100/535,492
  6. Step 6: Final answer
    x = 951,774.23

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.