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Finding the Third Proportional to 218,790 and 483,507

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Solution

The third proportional to 218,790 and 483,507 is: 1,068,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,790 : 483,507 = 483,507 : x
  2. Step 2: Convert to fraction form
    218,790/483,507 = 483,507/x
  3. Step 3: Cross multiply
    218,790x = 483,507 × 483,507
  4. Step 4: Simplify right side
    218,790x = 233,779,019,049
  5. Step 5: Solve for x
    x = 233,779,019,049/218,790
  6. Step 6: Final answer
    x = 1,068,508.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.