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Finding the Third Proportional to 463,154 and 692,775

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Solution

The third proportional to 463,154 and 692,775 is: 1,036,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,154 : 692,775 = 692,775 : x
  2. Step 2: Convert to fraction form
    463,154/692,775 = 692,775/x
  3. Step 3: Cross multiply
    463,154x = 692,775 × 692,775
  4. Step 4: Simplify right side
    463,154x = 479,937,200,625
  5. Step 5: Solve for x
    x = 479,937,200,625/463,154
  6. Step 6: Final answer
    x = 1,036,236.76

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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.