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Finding the Third Proportional to 452,263 and 614,218.50

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Solution

The third proportional to 452,263 and 614,218.50 is: 834,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,263 : 614,218.50 = 614,218.50 : x
  2. Step 2: Convert to fraction form
    452,263/614,218.50 = 614,218.50/x
  3. Step 3: Cross multiply
    452,263x = 614,218.50 × 614,218.50
  4. Step 4: Simplify right side
    452,263x = 377,264,365,742.25
  5. Step 5: Solve for x
    x = 377,264,365,742.25/452,263
  6. Step 6: Final answer
    x = 834,170.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.