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Finding the Third Proportional to 463,158 and 703,728

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Solution

The third proportional to 463,158 and 703,728 is: 1,069,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,158 : 703,728 = 703,728 : x
  2. Step 2: Convert to fraction form
    463,158/703,728 = 703,728/x
  3. Step 3: Cross multiply
    463,158x = 703,728 × 703,728
  4. Step 4: Simplify right side
    463,158x = 495,233,097,984
  5. Step 5: Solve for x
    x = 495,233,097,984/463,158
  6. Step 6: Final answer
    x = 1,069,253.04

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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.