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Finding the Third Proportional to 263,429 and 376,434

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Solution

The third proportional to 263,429 and 376,434 is: 537,915.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,429 : 376,434 = 376,434 : x
  2. Step 2: Convert to fraction form
    263,429/376,434 = 376,434/x
  3. Step 3: Cross multiply
    263,429x = 376,434 × 376,434
  4. Step 4: Simplify right side
    263,429x = 141,702,556,356
  5. Step 5: Solve for x
    x = 141,702,556,356/263,429
  6. Step 6: Final answer
    x = 537,915.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.