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Finding the Third Proportional to 476,604 and 703,815

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Solution

The third proportional to 476,604 and 703,815 is: 1,039,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,604 : 703,815 = 703,815 : x
  2. Step 2: Convert to fraction form
    476,604/703,815 = 703,815/x
  3. Step 3: Cross multiply
    476,604x = 703,815 × 703,815
  4. Step 4: Simplify right side
    476,604x = 495,355,554,225
  5. Step 5: Solve for x
    x = 495,355,554,225/476,604
  6. Step 6: Final answer
    x = 1,039,344.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.