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Finding the Third Proportional to 370,730 and 809,419

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Solution

The third proportional to 370,730 and 809,419 is: 1,767,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,730 : 809,419 = 809,419 : x
  2. Step 2: Convert to fraction form
    370,730/809,419 = 809,419/x
  3. Step 3: Cross multiply
    370,730x = 809,419 × 809,419
  4. Step 4: Simplify right side
    370,730x = 655,159,117,561
  5. Step 5: Solve for x
    x = 655,159,117,561/370,730
  6. Step 6: Final answer
    x = 1,767,213.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.