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Finding the Third Proportional to 462,865.50 and 614,173.50

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Solution

The third proportional to 462,865.50 and 614,173.50 is: 814,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,865.50 : 614,173.50 = 614,173.50 : x
  2. Step 2: Convert to fraction form
    462,865.50/614,173.50 = 614,173.50/x
  3. Step 3: Cross multiply
    462,865.50x = 614,173.50 × 614,173.50
  4. Step 4: Simplify right side
    462,865.50x = 377,209,088,102.25
  5. Step 5: Solve for x
    x = 377,209,088,102.25/462,865.50
  6. Step 6: Final answer
    x = 814,943.19

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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.