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Finding the Third Proportional to 263,001 and 575,210

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Solution

The third proportional to 263,001 and 575,210 is: 1,258,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,001 : 575,210 = 575,210 : x
  2. Step 2: Convert to fraction form
    263,001/575,210 = 575,210/x
  3. Step 3: Cross multiply
    263,001x = 575,210 × 575,210
  4. Step 4: Simplify right side
    263,001x = 330,866,544,100
  5. Step 5: Solve for x
    x = 330,866,544,100/263,001
  6. Step 6: Final answer
    x = 1,258,042.91

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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.