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Finding the Third Proportional to 377,898.75 and 585,101.25

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Solution

The third proportional to 377,898.75 and 585,101.25 is: 905,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,898.75 : 585,101.25 = 585,101.25 : x
  2. Step 2: Convert to fraction form
    377,898.75/585,101.25 = 585,101.25/x
  3. Step 3: Cross multiply
    377,898.75x = 585,101.25 × 585,101.25
  4. Step 4: Simplify right side
    377,898.75x = 342,343,472,751.56
  5. Step 5: Solve for x
    x = 342,343,472,751.56/377,898.75
  6. Step 6: Final answer
    x = 905,913.22

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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.