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Finding the Third Proportional to 535,096 and 713,340

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Solution

The third proportional to 535,096 and 713,340 is: 950,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,096 : 713,340 = 713,340 : x
  2. Step 2: Convert to fraction form
    535,096/713,340 = 713,340/x
  3. Step 3: Cross multiply
    535,096x = 713,340 × 713,340
  4. Step 4: Simplify right side
    535,096x = 508,853,955,600
  5. Step 5: Solve for x
    x = 508,853,955,600/535,096
  6. Step 6: Final answer
    x = 950,958.25

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Why These Related Problems?

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