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Finding the Third Proportional to 395,576.47 and 590,757.68

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Solution

The third proportional to 395,576.47 and 590,757.68 is: 882,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,576.47 : 590,757.68 = 590,757.68 : x
  2. Step 2: Convert to fraction form
    395,576.47/590,757.68 = 590,757.68/x
  3. Step 3: Cross multiply
    395,576.47x = 590,757.68 × 590,757.68
  4. Step 4: Simplify right side
    395,576.47x = 348,994,636,109.76
  5. Step 5: Solve for x
    x = 348,994,636,109.76/395,576.47
  6. Step 6: Final answer
    x = 882,243.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.