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Finding the Third Proportional to 244,006 and 528,740

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Solution

The third proportional to 244,006 and 528,740 is: 1,145,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,006 : 528,740 = 528,740 : x
  2. Step 2: Convert to fraction form
    244,006/528,740 = 528,740/x
  3. Step 3: Cross multiply
    244,006x = 528,740 × 528,740
  4. Step 4: Simplify right side
    244,006x = 279,565,987,600
  5. Step 5: Solve for x
    x = 279,565,987,600/244,006
  6. Step 6: Final answer
    x = 1,145,734.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.