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Finding the Third Proportional to 349,588 and 530,826

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Solution

The third proportional to 349,588 and 530,826 is: 806,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,588 : 530,826 = 530,826 : x
  2. Step 2: Convert to fraction form
    349,588/530,826 = 530,826/x
  3. Step 3: Cross multiply
    349,588x = 530,826 × 530,826
  4. Step 4: Simplify right side
    349,588x = 281,776,242,276
  5. Step 5: Solve for x
    x = 281,776,242,276/349,588
  6. Step 6: Final answer
    x = 806,023.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.