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Finding the Third Proportional to 252,518.77 and 561,090.80

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Solution

The third proportional to 252,518.77 and 561,090.80 is: 1,246,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,518.77 : 561,090.80 = 561,090.80 : x
  2. Step 2: Convert to fraction form
    252,518.77/561,090.80 = 561,090.80/x
  3. Step 3: Cross multiply
    252,518.77x = 561,090.80 × 561,090.80
  4. Step 4: Simplify right side
    252,518.77x = 314,822,882,337.82
  5. Step 5: Solve for x
    x = 314,822,882,337.82/252,518.77
  6. Step 6: Final answer
    x = 1,246,730.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.