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Finding the Third Proportional to 349,520 and 527,176

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Solution

The third proportional to 349,520 and 527,176 is: 795,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,520 : 527,176 = 527,176 : x
  2. Step 2: Convert to fraction form
    349,520/527,176 = 527,176/x
  3. Step 3: Cross multiply
    349,520x = 527,176 × 527,176
  4. Step 4: Simplify right side
    349,520x = 277,914,534,976
  5. Step 5: Solve for x
    x = 277,914,534,976/349,520
  6. Step 6: Final answer
    x = 795,132.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.