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Finding the Third Proportional to 378,126 and 585,779.63

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Solution

The third proportional to 378,126 and 585,779.63 is: 907,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,126 : 585,779.63 = 585,779.63 : x
  2. Step 2: Convert to fraction form
    378,126/585,779.63 = 585,779.63/x
  3. Step 3: Cross multiply
    378,126x = 585,779.63 × 585,779.63
  4. Step 4: Simplify right side
    378,126x = 343,137,769,065.14
  5. Step 5: Solve for x
    x = 343,137,769,065.14/378,126
  6. Step 6: Final answer
    x = 907,469.39

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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.