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Finding the Third Proportional to 239,316 and 522,102

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Solution

The third proportional to 239,316 and 522,102 is: 1,139,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,316 : 522,102 = 522,102 : x
  2. Step 2: Convert to fraction form
    239,316/522,102 = 522,102/x
  3. Step 3: Cross multiply
    239,316x = 522,102 × 522,102
  4. Step 4: Simplify right side
    239,316x = 272,590,498,404
  5. Step 5: Solve for x
    x = 272,590,498,404/239,316
  6. Step 6: Final answer
    x = 1,139,040.01

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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.