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Finding the Third Proportional to 431,302.50 and 662,024.25

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Solution

The third proportional to 431,302.50 and 662,024.25 is: 1,016,168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,302.50 : 662,024.25 = 662,024.25 : x
  2. Step 2: Convert to fraction form
    431,302.50/662,024.25 = 662,024.25/x
  3. Step 3: Cross multiply
    431,302.50x = 662,024.25 × 662,024.25
  4. Step 4: Simplify right side
    431,302.50x = 438,276,107,588.06
  5. Step 5: Solve for x
    x = 438,276,107,588.06/431,302.50
  6. Step 6: Final answer
    x = 1,016,168.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.