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Finding the Third Proportional to 463,160 and 703,731

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Solution

The third proportional to 463,160 and 703,731 is: 1,069,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,160 : 703,731 = 703,731 : x
  2. Step 2: Convert to fraction form
    463,160/703,731 = 703,731/x
  3. Step 3: Cross multiply
    463,160x = 703,731 × 703,731
  4. Step 4: Simplify right side
    463,160x = 495,237,320,361
  5. Step 5: Solve for x
    x = 495,237,320,361/463,160
  6. Step 6: Final answer
    x = 1,069,257.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.