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Finding the Third Proportional to 317,608 and 697,430

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Solution

The third proportional to 317,608 and 697,430 is: 1,531,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,608 : 697,430 = 697,430 : x
  2. Step 2: Convert to fraction form
    317,608/697,430 = 697,430/x
  3. Step 3: Cross multiply
    317,608x = 697,430 × 697,430
  4. Step 4: Simplify right side
    317,608x = 486,408,604,900
  5. Step 5: Solve for x
    x = 486,408,604,900/317,608
  6. Step 6: Final answer
    x = 1,531,474.66

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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.