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Finding the Third Proportional to 460,467 and 943,753.50

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Solution

The third proportional to 460,467 and 943,753.50 is: 1,934,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,467 : 943,753.50 = 943,753.50 : x
  2. Step 2: Convert to fraction form
    460,467/943,753.50 = 943,753.50/x
  3. Step 3: Cross multiply
    460,467x = 943,753.50 × 943,753.50
  4. Step 4: Simplify right side
    460,467x = 890,670,668,762.25
  5. Step 5: Solve for x
    x = 890,670,668,762.25/460,467
  6. Step 6: Final answer
    x = 1,934,276.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.