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Finding the Third Proportional to 605,565 and 896,620.50

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Solution

The third proportional to 605,565 and 896,620.50 is: 1,327,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,565 : 896,620.50 = 896,620.50 : x
  2. Step 2: Convert to fraction form
    605,565/896,620.50 = 896,620.50/x
  3. Step 3: Cross multiply
    605,565x = 896,620.50 × 896,620.50
  4. Step 4: Simplify right side
    605,565x = 803,928,321,020.25
  5. Step 5: Solve for x
    x = 803,928,321,020.25/605,565
  6. Step 6: Final answer
    x = 1,327,567.35

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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.