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Finding the Third Proportional to 264,880.13 and 385,011.56

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Solution

The third proportional to 264,880.13 and 385,011.56 is: 559,626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,880.13 : 385,011.56 = 385,011.56 : x
  2. Step 2: Convert to fraction form
    264,880.13/385,011.56 = 385,011.56/x
  3. Step 3: Cross multiply
    264,880.13x = 385,011.56 × 385,011.56
  4. Step 4: Simplify right side
    264,880.13x = 148,233,903,258.69
  5. Step 5: Solve for x
    x = 148,233,903,258.69/264,880.13
  6. Step 6: Final answer
    x = 559,626.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.