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Finding the Third Proportional to 329,792.77 and 522,636.05

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Solution

The third proportional to 329,792.77 and 522,636.05 is: 828,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,792.77 : 522,636.05 = 522,636.05 : x
  2. Step 2: Convert to fraction form
    329,792.77/522,636.05 = 522,636.05/x
  3. Step 3: Cross multiply
    329,792.77x = 522,636.05 × 522,636.05
  4. Step 4: Simplify right side
    329,792.77x = 273,148,437,493.13
  5. Step 5: Solve for x
    x = 273,148,437,493.13/329,792.77
  6. Step 6: Final answer
    x = 828,242.66

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.