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Finding the Third Proportional to 408,255 and 875,532

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Solution

The third proportional to 408,255 and 875,532 is: 1,877,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,255 : 875,532 = 875,532 : x
  2. Step 2: Convert to fraction form
    408,255/875,532 = 875,532/x
  3. Step 3: Cross multiply
    408,255x = 875,532 × 875,532
  4. Step 4: Simplify right side
    408,255x = 766,556,283,024
  5. Step 5: Solve for x
    x = 766,556,283,024/408,255
  6. Step 6: Final answer
    x = 1,877,640.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.