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Finding the Third Proportional to 255,559 and 560,326

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Solution

The third proportional to 255,559 and 560,326 is: 1,228,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,559 : 560,326 = 560,326 : x
  2. Step 2: Convert to fraction form
    255,559/560,326 = 560,326/x
  3. Step 3: Cross multiply
    255,559x = 560,326 × 560,326
  4. Step 4: Simplify right side
    255,559x = 313,965,226,276
  5. Step 5: Solve for x
    x = 313,965,226,276/255,559
  6. Step 6: Final answer
    x = 1,228,543.02

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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.