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Finding the Third Proportional to 435,492 and 653,238

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Solution

The third proportional to 435,492 and 653,238 is: 979,857

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,492 : 653,238 = 653,238 : x
  2. Step 2: Convert to fraction form
    435,492/653,238 = 653,238/x
  3. Step 3: Cross multiply
    435,492x = 653,238 × 653,238
  4. Step 4: Simplify right side
    435,492x = 426,719,884,644
  5. Step 5: Solve for x
    x = 426,719,884,644/435,492
  6. Step 6: Final answer
    x = 979,857

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.