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Finding the Third Proportional to 243,059 and 380,419.50

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Solution

The third proportional to 243,059 and 380,419.50 is: 595,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,059 : 380,419.50 = 380,419.50 : x
  2. Step 2: Convert to fraction form
    243,059/380,419.50 = 380,419.50/x
  3. Step 3: Cross multiply
    243,059x = 380,419.50 × 380,419.50
  4. Step 4: Simplify right side
    243,059x = 144,718,995,980.25
  5. Step 5: Solve for x
    x = 144,718,995,980.25/243,059
  6. Step 6: Final answer
    x = 595,406.86

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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.