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Finding the Third Proportional to 243,054 and 380,412

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Solution

The third proportional to 243,054 and 380,412 is: 595,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,054 : 380,412 = 380,412 : x
  2. Step 2: Convert to fraction form
    243,054/380,412 = 380,412/x
  3. Step 3: Cross multiply
    243,054x = 380,412 × 380,412
  4. Step 4: Simplify right side
    243,054x = 144,713,289,744
  5. Step 5: Solve for x
    x = 144,713,289,744/243,054
  6. Step 6: Final answer
    x = 595,395.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.