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Finding the Third Proportional to 370,521 and 798,201

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Solution

The third proportional to 370,521 and 798,201 is: 1,719,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,521 : 798,201 = 798,201 : x
  2. Step 2: Convert to fraction form
    370,521/798,201 = 798,201/x
  3. Step 3: Cross multiply
    370,521x = 798,201 × 798,201
  4. Step 4: Simplify right side
    370,521x = 637,124,836,401
  5. Step 5: Solve for x
    x = 637,124,836,401/370,521
  6. Step 6: Final answer
    x = 1,719,537.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.