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Finding the Third Proportional to 349,588 and 534,570

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Solution

The third proportional to 349,588 and 534,570 is: 817,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,588 : 534,570 = 534,570 : x
  2. Step 2: Convert to fraction form
    349,588/534,570 = 534,570/x
  3. Step 3: Cross multiply
    349,588x = 534,570 × 534,570
  4. Step 4: Simplify right side
    349,588x = 285,765,084,900
  5. Step 5: Solve for x
    x = 285,765,084,900/349,588
  6. Step 6: Final answer
    x = 817,433.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.