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Finding the Third Proportional to 289,010 and 460,269.50

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Solution

The third proportional to 289,010 and 460,269.50 is: 733,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,010 : 460,269.50 = 460,269.50 : x
  2. Step 2: Convert to fraction form
    289,010/460,269.50 = 460,269.50/x
  3. Step 3: Cross multiply
    289,010x = 460,269.50 × 460,269.50
  4. Step 4: Simplify right side
    289,010x = 211,848,012,630.25
  5. Step 5: Solve for x
    x = 211,848,012,630.25/289,010
  6. Step 6: Final answer
    x = 733,012.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.