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Finding the Third Proportional to 365,823 and 771,498

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Solution

The third proportional to 365,823 and 771,498 is: 1,627,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,823 : 771,498 = 771,498 : x
  2. Step 2: Convert to fraction form
    365,823/771,498 = 771,498/x
  3. Step 3: Cross multiply
    365,823x = 771,498 × 771,498
  4. Step 4: Simplify right side
    365,823x = 595,209,164,004
  5. Step 5: Solve for x
    x = 595,209,164,004/365,823
  6. Step 6: Final answer
    x = 1,627,041.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.