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Finding the Third Proportional to 296,787 and 460,348.50

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Solution

The third proportional to 296,787 and 460,348.50 is: 714,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,787 : 460,348.50 = 460,348.50 : x
  2. Step 2: Convert to fraction form
    296,787/460,348.50 = 460,348.50/x
  3. Step 3: Cross multiply
    296,787x = 460,348.50 × 460,348.50
  4. Step 4: Simplify right side
    296,787x = 211,920,741,452.25
  5. Step 5: Solve for x
    x = 211,920,741,452.25/296,787
  6. Step 6: Final answer
    x = 714,049.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.