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Finding the Third Proportional to 283,047 and 454,506

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Solution

The third proportional to 283,047 and 454,506 is: 729,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,047 : 454,506 = 454,506 : x
  2. Step 2: Convert to fraction form
    283,047/454,506 = 454,506/x
  3. Step 3: Cross multiply
    283,047x = 454,506 × 454,506
  4. Step 4: Simplify right side
    283,047x = 206,575,704,036
  5. Step 5: Solve for x
    x = 206,575,704,036/283,047
  6. Step 6: Final answer
    x = 729,828.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.