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Finding the Third Proportional to 349,088 and 536,880

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Solution

The third proportional to 349,088 and 536,880 is: 825,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,088 : 536,880 = 536,880 : x
  2. Step 2: Convert to fraction form
    349,088/536,880 = 536,880/x
  3. Step 3: Cross multiply
    349,088x = 536,880 × 536,880
  4. Step 4: Simplify right side
    349,088x = 288,240,134,400
  5. Step 5: Solve for x
    x = 288,240,134,400/349,088
  6. Step 6: Final answer
    x = 825,694.77

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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.