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Finding the Third Proportional to 508,431.94 and 697,177.13

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Solution

The third proportional to 508,431.94 and 697,177.13 is: 955,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,431.94 : 697,177.13 = 697,177.13 : x
  2. Step 2: Convert to fraction form
    508,431.94/697,177.13 = 697,177.13/x
  3. Step 3: Cross multiply
    508,431.94x = 697,177.13 × 697,177.13
  4. Step 4: Simplify right side
    508,431.94x = 486,055,943,623.27
  5. Step 5: Solve for x
    x = 486,055,943,623.27/508,431.94
  6. Step 6: Final answer
    x = 955,990.19

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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.