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Finding the Third Proportional to 532,804.25 and 812,504.75

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Solution

The third proportional to 532,804.25 and 812,504.75 is: 1,239,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,804.25 : 812,504.75 = 812,504.75 : x
  2. Step 2: Convert to fraction form
    532,804.25/812,504.75 = 812,504.75/x
  3. Step 3: Cross multiply
    532,804.25x = 812,504.75 × 812,504.75
  4. Step 4: Simplify right side
    532,804.25x = 660,163,968,772.56
  5. Step 5: Solve for x
    x = 660,163,968,772.56/532,804.25
  6. Step 6: Final answer
    x = 1,239,036.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.