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Finding the Third Proportional to 463,158 and 692,781

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Solution

The third proportional to 463,158 and 692,781 is: 1,036,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,158 : 692,781 = 692,781 : x
  2. Step 2: Convert to fraction form
    463,158/692,781 = 692,781/x
  3. Step 3: Cross multiply
    463,158x = 692,781 × 692,781
  4. Step 4: Simplify right side
    463,158x = 479,945,513,961
  5. Step 5: Solve for x
    x = 479,945,513,961/463,158
  6. Step 6: Final answer
    x = 1,036,245.76

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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.