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Finding the Third Proportional to 508,449.75 and 697,197

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Solution

The third proportional to 508,449.75 and 697,197 is: 956,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,449.75 : 697,197 = 697,197 : x
  2. Step 2: Convert to fraction form
    508,449.75/697,197 = 697,197/x
  3. Step 3: Cross multiply
    508,449.75x = 697,197 × 697,197
  4. Step 4: Simplify right side
    508,449.75x = 486,083,656,809
  5. Step 5: Solve for x
    x = 486,083,656,809/508,449.75
  6. Step 6: Final answer
    x = 956,011.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.