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Finding the Third Proportional to 340,729 and 534,576

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Solution

The third proportional to 340,729 and 534,576 is: 838,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,729 : 534,576 = 534,576 : x
  2. Step 2: Convert to fraction form
    340,729/534,576 = 534,576/x
  3. Step 3: Cross multiply
    340,729x = 534,576 × 534,576
  4. Step 4: Simplify right side
    340,729x = 285,771,499,776
  5. Step 5: Solve for x
    x = 285,771,499,776/340,729
  6. Step 6: Final answer
    x = 838,706.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.