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Finding the Third Proportional to 370,752 and 809,463

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Solution

The third proportional to 370,752 and 809,463 is: 1,767,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,752 : 809,463 = 809,463 : x
  2. Step 2: Convert to fraction form
    370,752/809,463 = 809,463/x
  3. Step 3: Cross multiply
    370,752x = 809,463 × 809,463
  4. Step 4: Simplify right side
    370,752x = 655,230,348,369
  5. Step 5: Solve for x
    x = 655,230,348,369/370,752
  6. Step 6: Final answer
    x = 1,767,300.91

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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.