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Finding the Third Proportional to 452,567 and 671,014

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Solution

The third proportional to 452,567 and 671,014 is: 994,901.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,567 : 671,014 = 671,014 : x
  2. Step 2: Convert to fraction form
    452,567/671,014 = 671,014/x
  3. Step 3: Cross multiply
    452,567x = 671,014 × 671,014
  4. Step 4: Simplify right side
    452,567x = 450,259,788,196
  5. Step 5: Solve for x
    x = 450,259,788,196/452,567
  6. Step 6: Final answer
    x = 994,901.94

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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.