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Finding the Third Proportional to 356,399.50 and 742,285.06

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Solution

The third proportional to 356,399.50 and 742,285.06 is: 1,545,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,399.50 : 742,285.06 = 742,285.06 : x
  2. Step 2: Convert to fraction form
    356,399.50/742,285.06 = 742,285.06/x
  3. Step 3: Cross multiply
    356,399.50x = 742,285.06 × 742,285.06
  4. Step 4: Simplify right side
    356,399.50x = 550,987,114,010.63
  5. Step 5: Solve for x
    x = 550,987,114,010.63/356,399.50
  6. Step 6: Final answer
    x = 1,545,981.73

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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.