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Finding the Third Proportional to 354,436 and 777,765

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Solution

The third proportional to 354,436 and 777,765 is: 1,706,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,436 : 777,765 = 777,765 : x
  2. Step 2: Convert to fraction form
    354,436/777,765 = 777,765/x
  3. Step 3: Cross multiply
    354,436x = 777,765 × 777,765
  4. Step 4: Simplify right side
    354,436x = 604,918,395,225
  5. Step 5: Solve for x
    x = 604,918,395,225/354,436
  6. Step 6: Final answer
    x = 1,706,706.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.