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Finding the Third Proportional to 264,048.75 and 570,184.88

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Solution

The third proportional to 264,048.75 and 570,184.88 is: 1,231,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,048.75 : 570,184.88 = 570,184.88 : x
  2. Step 2: Convert to fraction form
    264,048.75/570,184.88 = 570,184.88/x
  3. Step 3: Cross multiply
    264,048.75x = 570,184.88 × 570,184.88
  4. Step 4: Simplify right side
    264,048.75x = 325,110,791,678.77
  5. Step 5: Solve for x
    x = 325,110,791,678.77/264,048.75
  6. Step 6: Final answer
    x = 1,231,252.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.