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Finding the Third Proportional to 296,689.50 and 459,694

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Solution

The third proportional to 296,689.50 and 459,694 is: 712,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,689.50 : 459,694 = 459,694 : x
  2. Step 2: Convert to fraction form
    296,689.50/459,694 = 459,694/x
  3. Step 3: Cross multiply
    296,689.50x = 459,694 × 459,694
  4. Step 4: Simplify right side
    296,689.50x = 211,318,573,636
  5. Step 5: Solve for x
    x = 211,318,573,636/296,689.50
  6. Step 6: Final answer
    x = 712,254.98

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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.