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Finding the Third Proportional to 532,110 and 798,141

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Solution

The third proportional to 532,110 and 798,141 is: 1,197,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,110 : 798,141 = 798,141 : x
  2. Step 2: Convert to fraction form
    532,110/798,141 = 798,141/x
  3. Step 3: Cross multiply
    532,110x = 798,141 × 798,141
  4. Step 4: Simplify right side
    532,110x = 637,029,055,881
  5. Step 5: Solve for x
    x = 637,029,055,881/532,110
  6. Step 6: Final answer
    x = 1,197,175.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.