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Finding the Third Proportional to 349,566 and 534,537

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Solution

The third proportional to 349,566 and 534,537 is: 817,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,566 : 534,537 = 534,537 : x
  2. Step 2: Convert to fraction form
    349,566/534,537 = 534,537/x
  3. Step 3: Cross multiply
    349,566x = 534,537 × 534,537
  4. Step 4: Simplify right side
    349,566x = 285,729,804,369
  5. Step 5: Solve for x
    x = 285,729,804,369/349,566
  6. Step 6: Final answer
    x = 817,384.43

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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.