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Finding the Third Proportional to 364,569 and 534,540

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Solution

The third proportional to 364,569 and 534,540 is: 783,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,569 : 534,540 = 534,540 : x
  2. Step 2: Convert to fraction form
    364,569/534,540 = 534,540/x
  3. Step 3: Cross multiply
    364,569x = 534,540 × 534,540
  4. Step 4: Simplify right side
    364,569x = 285,733,011,600
  5. Step 5: Solve for x
    x = 285,733,011,600/364,569
  6. Step 6: Final answer
    x = 783,755.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.