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Finding the Third Proportional to 452,532 and 670,971

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Solution

The third proportional to 452,532 and 670,971 is: 994,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,532 : 670,971 = 670,971 : x
  2. Step 2: Convert to fraction form
    452,532/670,971 = 670,971/x
  3. Step 3: Cross multiply
    452,532x = 670,971 × 670,971
  4. Step 4: Simplify right side
    452,532x = 450,202,082,841
  5. Step 5: Solve for x
    x = 450,202,082,841/452,532
  6. Step 6: Final answer
    x = 994,851.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.