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Finding the Third Proportional to 315,026.50 and 505,341

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Solution

The third proportional to 315,026.50 and 505,341 is: 810,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,026.50 : 505,341 = 505,341 : x
  2. Step 2: Convert to fraction form
    315,026.50/505,341 = 505,341/x
  3. Step 3: Cross multiply
    315,026.50x = 505,341 × 505,341
  4. Step 4: Simplify right side
    315,026.50x = 255,369,526,281
  5. Step 5: Solve for x
    x = 255,369,526,281/315,026.50
  6. Step 6: Final answer
    x = 810,628.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.