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Finding the Third Proportional to 458,565 and 611,586

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Solution

The third proportional to 458,565 and 611,586 is: 815,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,565 : 611,586 = 611,586 : x
  2. Step 2: Convert to fraction form
    458,565/611,586 = 611,586/x
  3. Step 3: Cross multiply
    458,565x = 611,586 × 611,586
  4. Step 4: Simplify right side
    458,565x = 374,037,435,396
  5. Step 5: Solve for x
    x = 374,037,435,396/458,565
  6. Step 6: Final answer
    x = 815,669.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.