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Finding the Third Proportional to 431,269.50 and 626,820.75

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Solution

The third proportional to 431,269.50 and 626,820.75 is: 911,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,269.50 : 626,820.75 = 626,820.75 : x
  2. Step 2: Convert to fraction form
    431,269.50/626,820.75 = 626,820.75/x
  3. Step 3: Cross multiply
    431,269.50x = 626,820.75 × 626,820.75
  4. Step 4: Simplify right side
    431,269.50x = 392,904,252,630.56
  5. Step 5: Solve for x
    x = 392,904,252,630.56/431,269.50
  6. Step 6: Final answer
    x = 911,041.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.