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Finding the Third Proportional to 315,260.25 and 501,883.50

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Solution

The third proportional to 315,260.25 and 501,883.50 is: 798,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,260.25 : 501,883.50 = 501,883.50 : x
  2. Step 2: Convert to fraction form
    315,260.25/501,883.50 = 501,883.50/x
  3. Step 3: Cross multiply
    315,260.25x = 501,883.50 × 501,883.50
  4. Step 4: Simplify right side
    315,260.25x = 251,887,047,572.25
  5. Step 5: Solve for x
    x = 251,887,047,572.25/315,260.25
  6. Step 6: Final answer
    x = 798,981.31

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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.