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Finding the Third Proportional to 231,354 and 535,534

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Solution

The third proportional to 231,354 and 535,534 is: 1,239,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,354 : 535,534 = 535,534 : x
  2. Step 2: Convert to fraction form
    231,354/535,534 = 535,534/x
  3. Step 3: Cross multiply
    231,354x = 535,534 × 535,534
  4. Step 4: Simplify right side
    231,354x = 286,796,665,156
  5. Step 5: Solve for x
    x = 286,796,665,156/231,354
  6. Step 6: Final answer
    x = 1,239,644.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.