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Finding the Third Proportional to 525,326 and 803,240

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Solution

The third proportional to 525,326 and 803,240 is: 1,228,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,326 : 803,240 = 803,240 : x
  2. Step 2: Convert to fraction form
    525,326/803,240 = 803,240/x
  3. Step 3: Cross multiply
    525,326x = 803,240 × 803,240
  4. Step 4: Simplify right side
    525,326x = 645,194,497,600
  5. Step 5: Solve for x
    x = 645,194,497,600/525,326
  6. Step 6: Final answer
    x = 1,228,179.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.