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Finding the Third Proportional to 522,723 and 736,128

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Solution

The third proportional to 522,723 and 736,128 is: 1,036,656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,723 : 736,128 = 736,128 : x
  2. Step 2: Convert to fraction form
    522,723/736,128 = 736,128/x
  3. Step 3: Cross multiply
    522,723x = 736,128 × 736,128
  4. Step 4: Simplify right side
    522,723x = 541,884,432,384
  5. Step 5: Solve for x
    x = 541,884,432,384/522,723
  6. Step 6: Final answer
    x = 1,036,656.95

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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.