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Finding the Third Proportional to 255,043.69 and 558,565.88

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Solution

The third proportional to 255,043.69 and 558,565.88 is: 1,223,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,043.69 : 558,565.88 = 558,565.88 : x
  2. Step 2: Convert to fraction form
    255,043.69/558,565.88 = 558,565.88/x
  3. Step 3: Cross multiply
    255,043.69x = 558,565.88 × 558,565.88
  4. Step 4: Simplify right side
    255,043.69x = 311,995,836,714.52
  5. Step 5: Solve for x
    x = 311,995,836,714.52/255,043.69
  6. Step 6: Final answer
    x = 1,223,303.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.