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Finding the Third Proportional to 317,628 and 697,500

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Solution

The third proportional to 317,628 and 697,500 is: 1,531,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,628 : 697,500 = 697,500 : x
  2. Step 2: Convert to fraction form
    317,628/697,500 = 697,500/x
  3. Step 3: Cross multiply
    317,628x = 697,500 × 697,500
  4. Step 4: Simplify right side
    317,628x = 486,506,250,000
  5. Step 5: Solve for x
    x = 486,506,250,000/317,628
  6. Step 6: Final answer
    x = 1,531,685.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.