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Finding the Third Proportional to 485,775 and 735,439.50

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Solution

The third proportional to 485,775 and 735,439.50 is: 1,113,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,775 : 735,439.50 = 735,439.50 : x
  2. Step 2: Convert to fraction form
    485,775/735,439.50 = 735,439.50/x
  3. Step 3: Cross multiply
    485,775x = 735,439.50 × 735,439.50
  4. Step 4: Simplify right side
    485,775x = 540,871,258,160.25
  5. Step 5: Solve for x
    x = 540,871,258,160.25/485,775
  6. Step 6: Final answer
    x = 1,113,419.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.