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Finding the Third Proportional to 536,376.94 and 810,032.91

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Solution

The third proportional to 536,376.94 and 810,032.91 is: 1,223,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,376.94 : 810,032.91 = 810,032.91 : x
  2. Step 2: Convert to fraction form
    536,376.94/810,032.91 = 810,032.91/x
  3. Step 3: Cross multiply
    536,376.94x = 810,032.91 × 810,032.91
  4. Step 4: Simplify right side
    536,376.94x = 656,153,309,207.82
  5. Step 5: Solve for x
    x = 656,153,309,207.82/536,376.94
  6. Step 6: Final answer
    x = 1,223,306.34

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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.