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Finding the Third Proportional to 315,782.30 and 501,967.76

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Solution

The third proportional to 315,782.30 and 501,967.76 is: 797,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,782.30 : 501,967.76 = 501,967.76 : x
  2. Step 2: Convert to fraction form
    315,782.30/501,967.76 = 501,967.76/x
  3. Step 3: Cross multiply
    315,782.30x = 501,967.76 × 501,967.76
  4. Step 4: Simplify right side
    315,782.30x = 251,971,629,883.31
  5. Step 5: Solve for x
    x = 251,971,629,883.31/315,782.30
  6. Step 6: Final answer
    x = 797,928.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.