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Finding the Third Proportional to 370,705 and 809,369

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Solution

The third proportional to 370,705 and 809,369 is: 1,767,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,705 : 809,369 = 809,369 : x
  2. Step 2: Convert to fraction form
    370,705/809,369 = 809,369/x
  3. Step 3: Cross multiply
    370,705x = 809,369 × 809,369
  4. Step 4: Simplify right side
    370,705x = 655,078,178,161
  5. Step 5: Solve for x
    x = 655,078,178,161/370,705
  6. Step 6: Final answer
    x = 1,767,114.49

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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.