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Finding the Third Proportional to 356,457.38 and 742,408.88

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Solution

The third proportional to 356,457.38 and 742,408.88 is: 1,546,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,457.38 : 742,408.88 = 742,408.88 : x
  2. Step 2: Convert to fraction form
    356,457.38/742,408.88 = 742,408.88/x
  3. Step 3: Cross multiply
    356,457.38x = 742,408.88 × 742,408.88
  4. Step 4: Simplify right side
    356,457.38x = 551,170,937,678.77
  5. Step 5: Solve for x
    x = 551,170,937,678.77/356,457.38
  6. Step 6: Final answer
    x = 1,546,246.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.