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Finding the Third Proportional to 395,037 and 564,534.56

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Solution

The third proportional to 395,037 and 564,534.56 is: 806,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,037 : 564,534.56 = 564,534.56 : x
  2. Step 2: Convert to fraction form
    395,037/564,534.56 = 564,534.56/x
  3. Step 3: Cross multiply
    395,037x = 564,534.56 × 564,534.56
  4. Step 4: Simplify right side
    395,037x = 318,699,272,257.07
  5. Step 5: Solve for x
    x = 318,699,272,257.07/395,037
  6. Step 6: Final answer
    x = 806,758.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.