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Finding the Third Proportional to 313,491 and 469,506

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Solution

The third proportional to 313,491 and 469,506 is: 703,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,491 : 469,506 = 469,506 : x
  2. Step 2: Convert to fraction form
    313,491/469,506 = 469,506/x
  3. Step 3: Cross multiply
    313,491x = 469,506 × 469,506
  4. Step 4: Simplify right side
    313,491x = 220,435,884,036
  5. Step 5: Solve for x
    x = 220,435,884,036/313,491
  6. Step 6: Final answer
    x = 703,164.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.