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Finding the Third Proportional to 303,590 and 452,921

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Solution

The third proportional to 303,590 and 452,921 is: 675,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,590 : 452,921 = 452,921 : x
  2. Step 2: Convert to fraction form
    303,590/452,921 = 452,921/x
  3. Step 3: Cross multiply
    303,590x = 452,921 × 452,921
  4. Step 4: Simplify right side
    303,590x = 205,137,432,241
  5. Step 5: Solve for x
    x = 205,137,432,241/303,590
  6. Step 6: Final answer
    x = 675,705.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.