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Finding the Third Proportional to 513,477 and 798,201

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Solution

The third proportional to 513,477 and 798,201 is: 1,240,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,477 : 798,201 = 798,201 : x
  2. Step 2: Convert to fraction form
    513,477/798,201 = 798,201/x
  3. Step 3: Cross multiply
    513,477x = 798,201 × 798,201
  4. Step 4: Simplify right side
    513,477x = 637,124,836,401
  5. Step 5: Solve for x
    x = 637,124,836,401/513,477
  6. Step 6: Final answer
    x = 1,240,805.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.