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Finding the Third Proportional to 244,732 and 358,242

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Solution

The third proportional to 244,732 and 358,242 is: 524,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,732 : 358,242 = 358,242 : x
  2. Step 2: Convert to fraction form
    244,732/358,242 = 358,242/x
  3. Step 3: Cross multiply
    244,732x = 358,242 × 358,242
  4. Step 4: Simplify right side
    244,732x = 128,337,330,564
  5. Step 5: Solve for x
    x = 128,337,330,564/244,732
  6. Step 6: Final answer
    x = 524,399.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.