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Finding the Third Proportional to 377,956.13 and 585,235.13

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Solution

The third proportional to 377,956.13 and 585,235.13 is: 906,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,956.13 : 585,235.13 = 585,235.13 : x
  2. Step 2: Convert to fraction form
    377,956.13/585,235.13 = 585,235.13/x
  3. Step 3: Cross multiply
    377,956.13x = 585,235.13 × 585,235.13
  4. Step 4: Simplify right side
    377,956.13x = 342,500,151,533.77
  5. Step 5: Solve for x
    x = 342,500,151,533.77/377,956.13
  6. Step 6: Final answer
    x = 906,190.24

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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.