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Finding the Third Proportional to 262,166.63 and 561,724.88

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Solution

The third proportional to 262,166.63 and 561,724.88 is: 1,203,566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,166.63 : 561,724.88 = 561,724.88 : x
  2. Step 2: Convert to fraction form
    262,166.63/561,724.88 = 561,724.88/x
  3. Step 3: Cross multiply
    262,166.63x = 561,724.88 × 561,724.88
  4. Step 4: Simplify right side
    262,166.63x = 315,534,835,193.77
  5. Step 5: Solve for x
    x = 315,534,835,193.77/262,166.63
  6. Step 6: Final answer
    x = 1,203,566.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.