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Finding the Third Proportional to 315,703.50 and 692,524.50

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Solution

The third proportional to 315,703.50 and 692,524.50 is: 1,519,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,703.50 : 692,524.50 = 692,524.50 : x
  2. Step 2: Convert to fraction form
    315,703.50/692,524.50 = 692,524.50/x
  3. Step 3: Cross multiply
    315,703.50x = 692,524.50 × 692,524.50
  4. Step 4: Simplify right side
    315,703.50x = 479,590,183,100.25
  5. Step 5: Solve for x
    x = 479,590,183,100.25/315,703.50
  6. Step 6: Final answer
    x = 1,519,115.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.