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Finding the Third Proportional to 378,121 and 585,773

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Solution

The third proportional to 378,121 and 585,773 is: 907,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,121 : 585,773 = 585,773 : x
  2. Step 2: Convert to fraction form
    378,121/585,773 = 585,773/x
  3. Step 3: Cross multiply
    378,121x = 585,773 × 585,773
  4. Step 4: Simplify right side
    378,121x = 343,130,007,529
  5. Step 5: Solve for x
    x = 343,130,007,529/378,121
  6. Step 6: Final answer
    x = 907,460.86

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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.