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Finding the Third Proportional to 239,312 and 522,088

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Solution

The third proportional to 239,312 and 522,088 is: 1,138,997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,312 : 522,088 = 522,088 : x
  2. Step 2: Convert to fraction form
    239,312/522,088 = 522,088/x
  3. Step 3: Cross multiply
    239,312x = 522,088 × 522,088
  4. Step 4: Simplify right side
    239,312x = 272,575,879,744
  5. Step 5: Solve for x
    x = 272,575,879,744/239,312
  6. Step 6: Final answer
    x = 1,138,997.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.