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Finding the Third Proportional to 264,285.28 and 402,624.42

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Solution

The third proportional to 264,285.28 and 402,624.42 is: 613,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,285.28 : 402,624.42 = 402,624.42 : x
  2. Step 2: Convert to fraction form
    264,285.28/402,624.42 = 402,624.42/x
  3. Step 3: Cross multiply
    264,285.28x = 402,624.42 × 402,624.42
  4. Step 4: Simplify right side
    264,285.28x = 162,106,425,090.18
  5. Step 5: Solve for x
    x = 162,106,425,090.18/264,285.28
  6. Step 6: Final answer
    x = 613,376.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.