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Finding the Third Proportional to 466,653 and 721,848

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Solution

The third proportional to 466,653 and 721,848 is: 1,116,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,653 : 721,848 = 721,848 : x
  2. Step 2: Convert to fraction form
    466,653/721,848 = 721,848/x
  3. Step 3: Cross multiply
    466,653x = 721,848 × 721,848
  4. Step 4: Simplify right side
    466,653x = 521,064,535,104
  5. Step 5: Solve for x
    x = 521,064,535,104/466,653
  6. Step 6: Final answer
    x = 1,116,599.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.