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Finding the Third Proportional to 435,298 and 616,497

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Solution

The third proportional to 435,298 and 616,497 is: 873,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,298 : 616,497 = 616,497 : x
  2. Step 2: Convert to fraction form
    435,298/616,497 = 616,497/x
  3. Step 3: Cross multiply
    435,298x = 616,497 × 616,497
  4. Step 4: Simplify right side
    435,298x = 380,068,551,009
  5. Step 5: Solve for x
    x = 380,068,551,009/435,298
  6. Step 6: Final answer
    x = 873,122.67

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.