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Finding the Third Proportional to 462,862.50 and 614,166

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Solution

The third proportional to 462,862.50 and 614,166 is: 814,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,862.50 : 614,166 = 614,166 : x
  2. Step 2: Convert to fraction form
    462,862.50/614,166 = 614,166/x
  3. Step 3: Cross multiply
    462,862.50x = 614,166 × 614,166
  4. Step 4: Simplify right side
    462,862.50x = 377,199,875,556
  5. Step 5: Solve for x
    x = 377,199,875,556/462,862.50
  6. Step 6: Final answer
    x = 814,928.57

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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.