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Finding the Third Proportional to 453,071 and 679,562

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Solution

The third proportional to 453,071 and 679,562 is: 1,019,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,071 : 679,562 = 679,562 : x
  2. Step 2: Convert to fraction form
    453,071/679,562 = 679,562/x
  3. Step 3: Cross multiply
    453,071x = 679,562 × 679,562
  4. Step 4: Simplify right side
    453,071x = 461,804,511,844
  5. Step 5: Solve for x
    x = 461,804,511,844/453,071
  6. Step 6: Final answer
    x = 1,019,276.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.