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Finding the Third Proportional to 252,532 and 552,541

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Solution

The third proportional to 252,532 and 552,541 is: 1,208,961.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,532 : 552,541 = 552,541 : x
  2. Step 2: Convert to fraction form
    252,532/552,541 = 552,541/x
  3. Step 3: Cross multiply
    252,532x = 552,541 × 552,541
  4. Step 4: Simplify right side
    252,532x = 305,301,556,681
  5. Step 5: Solve for x
    x = 305,301,556,681/252,532
  6. Step 6: Final answer
    x = 1,208,961.86

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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.