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Finding the Third Proportional to 356,309.50 and 742,103

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Solution

The third proportional to 356,309.50 and 742,103 is: 1,545,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,309.50 : 742,103 = 742,103 : x
  2. Step 2: Convert to fraction form
    356,309.50/742,103 = 742,103/x
  3. Step 3: Cross multiply
    356,309.50x = 742,103 × 742,103
  4. Step 4: Simplify right side
    356,309.50x = 550,716,862,609
  5. Step 5: Solve for x
    x = 550,716,862,609/356,309.50
  6. Step 6: Final answer
    x = 1,545,613.75

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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.