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Finding the Third Proportional to 537,231 and 812,764

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Solution

The third proportional to 537,231 and 812,764 is: 1,229,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,231 : 812,764 = 812,764 : x
  2. Step 2: Convert to fraction form
    537,231/812,764 = 812,764/x
  3. Step 3: Cross multiply
    537,231x = 812,764 × 812,764
  4. Step 4: Simplify right side
    537,231x = 660,585,319,696
  5. Step 5: Solve for x
    x = 660,585,319,696/537,231
  6. Step 6: Final answer
    x = 1,229,611.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.