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Finding the Third Proportional to 356,350.50 and 742,083

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Solution

The third proportional to 356,350.50 and 742,083 is: 1,545,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,350.50 : 742,083 = 742,083 : x
  2. Step 2: Convert to fraction form
    356,350.50/742,083 = 742,083/x
  3. Step 3: Cross multiply
    356,350.50x = 742,083 × 742,083
  4. Step 4: Simplify right side
    356,350.50x = 550,687,178,889
  5. Step 5: Solve for x
    x = 550,687,178,889/356,350.50
  6. Step 6: Final answer
    x = 1,545,352.62

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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.