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Finding the Third Proportional to 635,035.50 and 972,783

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Solution

The third proportional to 635,035.50 and 972,783 is: 1,490,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,035.50 : 972,783 = 972,783 : x
  2. Step 2: Convert to fraction form
    635,035.50/972,783 = 972,783/x
  3. Step 3: Cross multiply
    635,035.50x = 972,783 × 972,783
  4. Step 4: Simplify right side
    635,035.50x = 946,306,765,089
  5. Step 5: Solve for x
    x = 946,306,765,089/635,035.50
  6. Step 6: Final answer
    x = 1,490,163.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.