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Finding the Third Proportional to 315,495.75 and 684,223.50

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Solution

The third proportional to 315,495.75 and 684,223.50 is: 1,483,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,495.75 : 684,223.50 = 684,223.50 : x
  2. Step 2: Convert to fraction form
    315,495.75/684,223.50 = 684,223.50/x
  3. Step 3: Cross multiply
    315,495.75x = 684,223.50 × 684,223.50
  4. Step 4: Simplify right side
    315,495.75x = 468,161,797,952.25
  5. Step 5: Solve for x
    x = 468,161,797,952.25/315,495.75
  6. Step 6: Final answer
    x = 1,483,892.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.