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Finding the Third Proportional to 255,070.88 and 556,768.88

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Solution

The third proportional to 255,070.88 and 556,768.88 is: 1,215,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,070.88 : 556,768.88 = 556,768.88 : x
  2. Step 2: Convert to fraction form
    255,070.88/556,768.88 = 556,768.88/x
  3. Step 3: Cross multiply
    255,070.88x = 556,768.88 × 556,768.88
  4. Step 4: Simplify right side
    255,070.88x = 309,991,580,168.77
  5. Step 5: Solve for x
    x = 309,991,580,168.77/255,070.88
  6. Step 6: Final answer
    x = 1,215,315.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.