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Finding the Third Proportional to 483,606 and 762,507

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Solution

The third proportional to 483,606 and 762,507 is: 1,202,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,606 : 762,507 = 762,507 : x
  2. Step 2: Convert to fraction form
    483,606/762,507 = 762,507/x
  3. Step 3: Cross multiply
    483,606x = 762,507 × 762,507
  4. Step 4: Simplify right side
    483,606x = 581,416,925,049
  5. Step 5: Solve for x
    x = 581,416,925,049/483,606
  6. Step 6: Final answer
    x = 1,202,253.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.