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Finding the Third Proportional to 522,657.75 and 736,041

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Solution

The third proportional to 522,657.75 and 736,041 is: 1,036,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,657.75 : 736,041 = 736,041 : x
  2. Step 2: Convert to fraction form
    522,657.75/736,041 = 736,041/x
  3. Step 3: Cross multiply
    522,657.75x = 736,041 × 736,041
  4. Step 4: Simplify right side
    522,657.75x = 541,756,353,681
  5. Step 5: Solve for x
    x = 541,756,353,681/522,657.75
  6. Step 6: Final answer
    x = 1,036,541.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.