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Finding the Third Proportional to 603,832.50 and 1,302,256.13

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Solution

The third proportional to 603,832.50 and 1,302,256.13 is: 2,808,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,832.50 : 1,302,256.13 = 1,302,256.13 : x
  2. Step 2: Convert to fraction form
    603,832.50/1,302,256.13 = 1,302,256.13/x
  3. Step 3: Cross multiply
    603,832.50x = 1,302,256.13 × 1,302,256.13
  4. Step 4: Simplify right side
    603,832.50x = 1,695,871,015,100.02
  5. Step 5: Solve for x
    x = 1,695,871,015,100.02/603,832.50
  6. Step 6: Final answer
    x = 2,808,512.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.