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Finding the Third Proportional to 591,131.75 and 917,193.38

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Solution

The third proportional to 591,131.75 and 917,193.38 is: 1,423,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,131.75 : 917,193.38 = 917,193.38 : x
  2. Step 2: Convert to fraction form
    591,131.75/917,193.38 = 917,193.38/x
  3. Step 3: Cross multiply
    591,131.75x = 917,193.38 × 917,193.38
  4. Step 4: Simplify right side
    591,131.75x = 841,243,687,143.89
  5. Step 5: Solve for x
    x = 841,243,687,143.89/591,131.75
  6. Step 6: Final answer
    x = 1,423,106.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.