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Finding the Third Proportional to 288,242 and 458,024

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Solution

The third proportional to 288,242 and 458,024 is: 727,811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,242 : 458,024 = 458,024 : x
  2. Step 2: Convert to fraction form
    288,242/458,024 = 458,024/x
  3. Step 3: Cross multiply
    288,242x = 458,024 × 458,024
  4. Step 4: Simplify right side
    288,242x = 209,785,984,576
  5. Step 5: Solve for x
    x = 209,785,984,576/288,242
  6. Step 6: Final answer
    x = 727,811.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.