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Finding the Third Proportional to 452,300 and 614,260

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Solution

The third proportional to 452,300 and 614,260 is: 834,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,300 : 614,260 = 614,260 : x
  2. Step 2: Convert to fraction form
    452,300/614,260 = 614,260/x
  3. Step 3: Cross multiply
    452,300x = 614,260 × 614,260
  4. Step 4: Simplify right side
    452,300x = 377,315,347,600
  5. Step 5: Solve for x
    x = 377,315,347,600/452,300
  6. Step 6: Final answer
    x = 834,214.79

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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.