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Finding the Third Proportional to 349,060 and 536,838

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Solution

The third proportional to 349,060 and 536,838 is: 825,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,060 : 536,838 = 536,838 : x
  2. Step 2: Convert to fraction form
    349,060/536,838 = 536,838/x
  3. Step 3: Cross multiply
    349,060x = 536,838 × 536,838
  4. Step 4: Simplify right side
    349,060x = 288,195,038,244
  5. Step 5: Solve for x
    x = 288,195,038,244/349,060
  6. Step 6: Final answer
    x = 825,631.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.