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Finding the Third Proportional to 486,283.50 and 781,321.50

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Solution

The third proportional to 486,283.50 and 781,321.50 is: 1,255,365.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,283.50 : 781,321.50 = 781,321.50 : x
  2. Step 2: Convert to fraction form
    486,283.50/781,321.50 = 781,321.50/x
  3. Step 3: Cross multiply
    486,283.50x = 781,321.50 × 781,321.50
  4. Step 4: Simplify right side
    486,283.50x = 610,463,286,362.25
  5. Step 5: Solve for x
    x = 610,463,286,362.25/486,283.50
  6. Step 6: Final answer
    x = 1,255,365.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.