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Finding the Third Proportional to 243,015.19 and 501,574.78

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Solution

The third proportional to 243,015.19 and 501,574.78 is: 1,035,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,015.19 : 501,574.78 = 501,574.78 : x
  2. Step 2: Convert to fraction form
    243,015.19/501,574.78 = 501,574.78/x
  3. Step 3: Cross multiply
    243,015.19x = 501,574.78 × 501,574.78
  4. Step 4: Simplify right side
    243,015.19x = 251,577,261,185.99
  5. Step 5: Solve for x
    x = 251,577,261,185.99/243,015.19
  6. Step 6: Final answer
    x = 1,035,232.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.